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Finding the Fourth Proportional to 6,569.16, 9,855.57 and 3,649.52

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Solution

The fourth proportional to 6,569.16, 9,855.57 and 3,649.52 is: 5,475.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.16 : 9,855.57 = 3,649.52 : x
  2. Step 2: Convert to fraction form
    6,569.16/9,855.57 = 3,649.52/x
  3. Step 3: Cross multiply
    6,569.16x = 9,855.57 × 3,649.52
  4. Step 4: Simplify right side
    6,569.16x = 35,968,050.55
  5. Step 5: Solve for x
    x = 35,968,050.55/6,569.16
  6. Step 6: Final answer
    x = 5,475.29

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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.