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Finding the Fourth Proportional to 3,569.32, 5,352.60 and 1,228.89

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Solution

The fourth proportional to 3,569.32, 5,352.60 and 1,228.89 is: 1,842.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569.32 : 5,352.60 = 1,228.89 : x
  2. Step 2: Convert to fraction form
    3,569.32/5,352.60 = 1,228.89/x
  3. Step 3: Cross multiply
    3,569.32x = 5,352.60 × 1,228.89
  4. Step 4: Simplify right side
    3,569.32x = 6,577,756.61
  5. Step 5: Solve for x
    x = 6,577,756.61/3,569.32
  6. Step 6: Final answer
    x = 1,842.86

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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.