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Finding the Fourth Proportional to 6,032.57, 9,041.82 and 3,569.45

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Solution

The fourth proportional to 6,032.57, 9,041.82 and 3,569.45 is: 5,350.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,032.57 : 9,041.82 = 3,569.45 : x
  2. Step 2: Convert to fraction form
    6,032.57/9,041.82 = 3,569.45/x
  3. Step 3: Cross multiply
    6,032.57x = 9,041.82 × 3,569.45
  4. Step 4: Simplify right side
    6,032.57x = 32,274,279.19
  5. Step 5: Solve for x
    x = 32,274,279.19/6,032.57
  6. Step 6: Final answer
    x = 5,350.01

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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.