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Finding the Fourth Proportional to 5,506.47, 8,259.70 and 1,610.88

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Solution

The fourth proportional to 5,506.47, 8,259.70 and 1,610.88 is: 2,416.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,506.47 : 8,259.70 = 1,610.88 : x
  2. Step 2: Convert to fraction form
    5,506.47/8,259.70 = 1,610.88/x
  3. Step 3: Cross multiply
    5,506.47x = 8,259.70 × 1,610.88
  4. Step 4: Simplify right side
    5,506.47x = 13,305,385.54
  5. Step 5: Solve for x
    x = 13,305,385.54/5,506.47
  6. Step 6: Final answer
    x = 2,416.32

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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.