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Finding the Fourth Proportional to 4,567.32, 6,854.28 and 1,645.92

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Solution

The fourth proportional to 4,567.32, 6,854.28 and 1,645.92 is: 2,470.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,567.32 : 6,854.28 = 1,645.92 : x
  2. Step 2: Convert to fraction form
    4,567.32/6,854.28 = 1,645.92/x
  3. Step 3: Cross multiply
    4,567.32x = 6,854.28 × 1,645.92
  4. Step 4: Simplify right side
    4,567.32x = 11,281,596.54
  5. Step 5: Solve for x
    x = 11,281,596.54/4,567.32
  6. Step 6: Final answer
    x = 2,470.07

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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.