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Finding the Fourth Proportional to 3,642.12, 5,463.18 and 1,045.26

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Solution

The fourth proportional to 3,642.12, 5,463.18 and 1,045.26 is: 1,567.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.12 : 5,463.18 = 1,045.26 : x
  2. Step 2: Convert to fraction form
    3,642.12/5,463.18 = 1,045.26/x
  3. Step 3: Cross multiply
    3,642.12x = 5,463.18 × 1,045.26
  4. Step 4: Simplify right side
    3,642.12x = 5,710,443.53
  5. Step 5: Solve for x
    x = 5,710,443.53/3,642.12
  6. Step 6: Final answer
    x = 1,567.89

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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.