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Finding the Fourth Proportional to 5,106.85, 7,652.27 and 3,549.88

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Solution

The fourth proportional to 5,106.85, 7,652.27 and 3,549.88 is: 5,319.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106.85 : 7,652.27 = 3,549.88 : x
  2. Step 2: Convert to fraction form
    5,106.85/7,652.27 = 3,549.88/x
  3. Step 3: Cross multiply
    5,106.85x = 7,652.27 × 3,549.88
  4. Step 4: Simplify right side
    5,106.85x = 27,164,615.62
  5. Step 5: Solve for x
    x = 27,164,615.62/5,106.85
  6. Step 6: Final answer
    x = 5,319.25

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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.