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Finding the Fourth Proportional to 5,606.46, 8,397.54 and 3,652.74

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Solution

The fourth proportional to 5,606.46, 8,397.54 and 3,652.74 is: 5,471.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,606.46 : 8,397.54 = 3,652.74 : x
  2. Step 2: Convert to fraction form
    5,606.46/8,397.54 = 3,652.74/x
  3. Step 3: Cross multiply
    5,606.46x = 8,397.54 × 3,652.74
  4. Step 4: Simplify right side
    5,606.46x = 30,674,030.26
  5. Step 5: Solve for x
    x = 30,674,030.26/5,606.46
  6. Step 6: Final answer
    x = 5,471.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.