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Finding the Fourth Proportional to 3,751.71, 5,624.52 and 1,562.07

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Solution

The fourth proportional to 3,751.71, 5,624.52 and 1,562.07 is: 2,341.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,751.71 : 5,624.52 = 1,562.07 : x
  2. Step 2: Convert to fraction form
    3,751.71/5,624.52 = 1,562.07/x
  3. Step 3: Cross multiply
    3,751.71x = 5,624.52 × 1,562.07
  4. Step 4: Simplify right side
    3,751.71x = 8,785,893.96
  5. Step 5: Solve for x
    x = 8,785,893.96/3,751.71
  6. Step 6: Final answer
    x = 2,341.84

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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.