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Finding the Fourth Proportional to 4,017.53, 6,025.68 and 2,457

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Solution

The fourth proportional to 4,017.53, 6,025.68 and 2,457 is: 3,685.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,017.53 : 6,025.68 = 2,457 : x
  2. Step 2: Convert to fraction form
    4,017.53/6,025.68 = 2,457/x
  3. Step 3: Cross multiply
    4,017.53x = 6,025.68 × 2,457
  4. Step 4: Simplify right side
    4,017.53x = 14,805,095.76
  5. Step 5: Solve for x
    x = 14,805,095.76/4,017.53
  6. Step 6: Final answer
    x = 3,685.12

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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.