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Finding the Fourth Proportional to 5,364,876.80, 8,046,537.60 and 1,577,964.80

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Solution

The fourth proportional to 5,364,876.80, 8,046,537.60 and 1,577,964.80 is: 2,366,718.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,364,876.80 : 8,046,537.60 = 1,577,964.80 : x
  2. Step 2: Convert to fraction form
    5,364,876.80/8,046,537.60 = 1,577,964.80/x
  3. Step 3: Cross multiply
    5,364,876.80x = 8,046,537.60 × 1,577,964.80
  4. Step 4: Simplify right side
    5,364,876.80x = 12,697,153,094,676.48
  5. Step 5: Solve for x
    x = 12,697,153,094,676.48/5,364,876.80
  6. Step 6: Final answer
    x = 2,366,718.49

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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.