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Finding the Fourth Proportional to 5,206.60, 7,801.68 and 1,915.16

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Solution

The fourth proportional to 5,206.60, 7,801.68 and 1,915.16 is: 2,869.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.60 : 7,801.68 = 1,915.16 : x
  2. Step 2: Convert to fraction form
    5,206.60/7,801.68 = 1,915.16/x
  3. Step 3: Cross multiply
    5,206.60x = 7,801.68 × 1,915.16
  4. Step 4: Simplify right side
    5,206.60x = 14,941,465.47
  5. Step 5: Solve for x
    x = 14,941,465.47/5,206.60
  6. Step 6: Final answer
    x = 2,869.72

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