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Finding the Fourth Proportional to 3,547.34, 5,320.64 and 1,083.88

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Solution

The fourth proportional to 3,547.34, 5,320.64 and 1,083.88 is: 1,625.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.34 : 5,320.64 = 1,083.88 : x
  2. Step 2: Convert to fraction form
    3,547.34/5,320.64 = 1,083.88/x
  3. Step 3: Cross multiply
    3,547.34x = 5,320.64 × 1,083.88
  4. Step 4: Simplify right side
    3,547.34x = 5,766,938.55
  5. Step 5: Solve for x
    x = 5,766,938.55/3,547.34
  6. Step 6: Final answer
    x = 1,625.71

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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.