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Finding the Fourth Proportional to 3,642.66, 5,463.96 and 1,045.60

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Solution

The fourth proportional to 3,642.66, 5,463.96 and 1,045.60 is: 1,568.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.66 : 5,463.96 = 1,045.60 : x
  2. Step 2: Convert to fraction form
    3,642.66/5,463.96 = 1,045.60/x
  3. Step 3: Cross multiply
    3,642.66x = 5,463.96 × 1,045.60
  4. Step 4: Simplify right side
    3,642.66x = 5,713,116.58
  5. Step 5: Solve for x
    x = 5,713,116.58/3,642.66
  6. Step 6: Final answer
    x = 1,568.39

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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.