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Finding the Fourth Proportional to 3,288.57, 4,925.63 and 2,365.92

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Solution

The fourth proportional to 3,288.57, 4,925.63 and 2,365.92 is: 3,543.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.57 : 4,925.63 = 2,365.92 : x
  2. Step 2: Convert to fraction form
    3,288.57/4,925.63 = 2,365.92/x
  3. Step 3: Cross multiply
    3,288.57x = 4,925.63 × 2,365.92
  4. Step 4: Simplify right side
    3,288.57x = 11,653,634.70
  5. Step 5: Solve for x
    x = 11,653,634.70/3,288.57
  6. Step 6: Final answer
    x = 3,543.68

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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.