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Finding the Fourth Proportional to 3,502.28, 5,253.66 and 1,037

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Solution

The fourth proportional to 3,502.28, 5,253.66 and 1,037 is: 1,555.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,502.28 : 5,253.66 = 1,037 : x
  2. Step 2: Convert to fraction form
    3,502.28/5,253.66 = 1,037/x
  3. Step 3: Cross multiply
    3,502.28x = 5,253.66 × 1,037
  4. Step 4: Simplify right side
    3,502.28x = 5,448,045.42
  5. Step 5: Solve for x
    x = 5,448,045.42/3,502.28
  6. Step 6: Final answer
    x = 1,555.57

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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.