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Finding the Fourth Proportional to 5,588.76, 8,402.58 and 5,161.08

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Solution

The fourth proportional to 5,588.76, 8,402.58 and 5,161.08 is: 7,759.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,588.76 : 8,402.58 = 5,161.08 : x
  2. Step 2: Convert to fraction form
    5,588.76/8,402.58 = 5,161.08/x
  3. Step 3: Cross multiply
    5,588.76x = 8,402.58 × 5,161.08
  4. Step 4: Simplify right side
    5,588.76x = 43,366,387.59
  5. Step 5: Solve for x
    x = 43,366,387.59/5,588.76
  6. Step 6: Final answer
    x = 7,759.57

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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.