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Finding the Fourth Proportional to 4,052.70, 5,585.09 and 2,931.74

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Solution

The fourth proportional to 4,052.70, 5,585.09 and 2,931.74 is: 4,040.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,052.70 : 5,585.09 = 2,931.74 : x
  2. Step 2: Convert to fraction form
    4,052.70/5,585.09 = 2,931.74/x
  3. Step 3: Cross multiply
    4,052.70x = 5,585.09 × 2,931.74
  4. Step 4: Simplify right side
    4,052.70x = 16,373,989.17
  5. Step 5: Solve for x
    x = 16,373,989.17/4,052.70
  6. Step 6: Final answer
    x = 4,040.27

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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.