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Finding the Fourth Proportional to 3,549.74, 5,316.50 and 3,029.18

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Solution

The fourth proportional to 3,549.74, 5,316.50 and 3,029.18 is: 4,536.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,549.74 : 5,316.50 = 3,029.18 : x
  2. Step 2: Convert to fraction form
    3,549.74/5,316.50 = 3,029.18/x
  3. Step 3: Cross multiply
    3,549.74x = 5,316.50 × 3,029.18
  4. Step 4: Simplify right side
    3,549.74x = 16,104,616.46
  5. Step 5: Solve for x
    x = 16,104,616.46/3,549.74
  6. Step 6: Final answer
    x = 4,536.85

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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.