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Finding the Fourth Proportional to 5,549.58, 7,657.72 and 3,159.86

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Solution

The fourth proportional to 5,549.58, 7,657.72 and 3,159.86 is: 4,360.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,549.58 : 7,657.72 = 3,159.86 : x
  2. Step 2: Convert to fraction form
    5,549.58/7,657.72 = 3,159.86/x
  3. Step 3: Cross multiply
    5,549.58x = 7,657.72 × 3,159.86
  4. Step 4: Simplify right side
    5,549.58x = 24,197,323.12
  5. Step 5: Solve for x
    x = 24,197,323.12/5,549.58
  6. Step 6: Final answer
    x = 4,360.21

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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.