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Finding the Fourth Proportional to 5,098.16, 7,646.48 and 2,500.40

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Solution

The fourth proportional to 5,098.16, 7,646.48 and 2,500.40 is: 3,750.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.16 : 7,646.48 = 2,500.40 : x
  2. Step 2: Convert to fraction form
    5,098.16/7,646.48 = 2,500.40/x
  3. Step 3: Cross multiply
    5,098.16x = 7,646.48 × 2,500.40
  4. Step 4: Simplify right side
    5,098.16x = 19,119,258.59
  5. Step 5: Solve for x
    x = 19,119,258.59/5,098.16
  6. Step 6: Final answer
    x = 3,750.23

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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.