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Finding the Fourth Proportional to 3,641.47, 5,455.72 and 1,528.45

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Solution

The fourth proportional to 3,641.47, 5,455.72 and 1,528.45 is: 2,289.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,641.47 : 5,455.72 = 1,528.45 : x
  2. Step 2: Convert to fraction form
    3,641.47/5,455.72 = 1,528.45/x
  3. Step 3: Cross multiply
    3,641.47x = 5,455.72 × 1,528.45
  4. Step 4: Simplify right side
    3,641.47x = 8,338,760.31
  5. Step 5: Solve for x
    x = 8,338,760.31/3,641.47
  6. Step 6: Final answer
    x = 2,289.95

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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.