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Finding the Fourth Proportional to 5,197,812.64, 7,784,607.84 and 5,054,319.52

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Solution

The fourth proportional to 5,197,812.64, 7,784,607.84 and 5,054,319.52 is: 7,569,702.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197,812.64 : 7,784,607.84 = 5,054,319.52 : x
  2. Step 2: Convert to fraction form
    5,197,812.64/7,784,607.84 = 5,054,319.52/x
  3. Step 3: Cross multiply
    5,197,812.64x = 7,784,607.84 × 5,054,319.52
  4. Step 4: Simplify right side
    5,197,812.64x = 39,345,895,361,257.03
  5. Step 5: Solve for x
    x = 39,345,895,361,257.03/5,197,812.64
  6. Step 6: Final answer
    x = 7,569,702.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.