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Finding the Fourth Proportional to 5,665.52, 8,498.52 and 1,770.08

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Solution

The fourth proportional to 5,665.52, 8,498.52 and 1,770.08 is: 2,655.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.52 : 8,498.52 = 1,770.08 : x
  2. Step 2: Convert to fraction form
    5,665.52/8,498.52 = 1,770.08/x
  3. Step 3: Cross multiply
    5,665.52x = 8,498.52 × 1,770.08
  4. Step 4: Simplify right side
    5,665.52x = 15,043,060.28
  5. Step 5: Solve for x
    x = 15,043,060.28/5,665.52
  6. Step 6: Final answer
    x = 2,655.19

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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.