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Finding the Fourth Proportional to 6,569.53, 9,829.68 and 3,649.88

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Solution

The fourth proportional to 6,569.53, 9,829.68 and 3,649.88 is: 5,461.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,569.53 : 9,829.68 = 3,649.88 : x
  2. Step 2: Convert to fraction form
    6,569.53/9,829.68 = 3,649.88/x
  3. Step 3: Cross multiply
    6,569.53x = 9,829.68 × 3,649.88
  4. Step 4: Simplify right side
    6,569.53x = 35,877,152.44
  5. Step 5: Solve for x
    x = 35,877,152.44/6,569.53
  6. Step 6: Final answer
    x = 5,461.14

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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.