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Finding the Fourth Proportional to 4,348.61, 6,518.63 and 2,784.16

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Solution

The fourth proportional to 4,348.61, 6,518.63 and 2,784.16 is: 4,173.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,348.61 : 6,518.63 = 2,784.16 : x
  2. Step 2: Convert to fraction form
    4,348.61/6,518.63 = 2,784.16/x
  3. Step 3: Cross multiply
    4,348.61x = 6,518.63 × 2,784.16
  4. Step 4: Simplify right side
    4,348.61x = 18,148,894.98
  5. Step 5: Solve for x
    x = 18,148,894.98/4,348.61
  6. Step 6: Final answer
    x = 4,173.49

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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.