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Finding the Fourth Proportional to 3,713.66, 5,124.90 and 2,035.02

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Solution

The fourth proportional to 3,713.66, 5,124.90 and 2,035.02 is: 2,808.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,713.66 : 5,124.90 = 2,035.02 : x
  2. Step 2: Convert to fraction form
    3,713.66/5,124.90 = 2,035.02/x
  3. Step 3: Cross multiply
    3,713.66x = 5,124.90 × 2,035.02
  4. Step 4: Simplify right side
    3,713.66x = 10,429,274.00
  5. Step 5: Solve for x
    x = 10,429,274.00/3,713.66
  6. Step 6: Final answer
    x = 2,808.35

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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.