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Finding the Fourth Proportional to 3,717.53, 5,129.97 and 2,038.60

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Solution

The fourth proportional to 3,717.53, 5,129.97 and 2,038.60 is: 2,813.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,717.53 : 5,129.97 = 2,038.60 : x
  2. Step 2: Convert to fraction form
    3,717.53/5,129.97 = 2,038.60/x
  3. Step 3: Cross multiply
    3,717.53x = 5,129.97 × 2,038.60
  4. Step 4: Simplify right side
    3,717.53x = 10,457,931.19
  5. Step 5: Solve for x
    x = 10,457,931.19/3,717.53
  6. Step 6: Final answer
    x = 2,813.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.