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Finding the Fourth Proportional to 3,547.04, 5,318.25 and 1,466.49

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Solution

The fourth proportional to 3,547.04, 5,318.25 and 1,466.49 is: 2,198.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.04 : 5,318.25 = 1,466.49 : x
  2. Step 2: Convert to fraction form
    3,547.04/5,318.25 = 1,466.49/x
  3. Step 3: Cross multiply
    3,547.04x = 5,318.25 × 1,466.49
  4. Step 4: Simplify right side
    3,547.04x = 7,799,145.61
  5. Step 5: Solve for x
    x = 7,799,145.61/3,547.04
  6. Step 6: Final answer
    x = 2,198.78

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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.