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Finding the Fourth Proportional to 3,567.76, 4,925.66 and 2,327.92

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Solution

The fourth proportional to 3,567.76, 4,925.66 and 2,327.92 is: 3,213.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,567.76 : 4,925.66 = 2,327.92 : x
  2. Step 2: Convert to fraction form
    3,567.76/4,925.66 = 2,327.92/x
  3. Step 3: Cross multiply
    3,567.76x = 4,925.66 × 2,327.92
  4. Step 4: Simplify right side
    3,567.76x = 11,466,542.43
  5. Step 5: Solve for x
    x = 11,466,542.43/3,567.76
  6. Step 6: Final answer
    x = 3,213.93

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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.