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Finding the Fourth Proportional to 3,534.74, 4,881.57 and 2,649.14

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Solution

The fourth proportional to 3,534.74, 4,881.57 and 2,649.14 is: 3,658.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.74 : 4,881.57 = 2,649.14 : x
  2. Step 2: Convert to fraction form
    3,534.74/4,881.57 = 2,649.14/x
  3. Step 3: Cross multiply
    3,534.74x = 4,881.57 × 2,649.14
  4. Step 4: Simplify right side
    3,534.74x = 12,931,962.35
  5. Step 5: Solve for x
    x = 12,931,962.35/3,534.74
  6. Step 6: Final answer
    x = 3,658.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.