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Finding the Fourth Proportional to 5,587.68, 7,710.88 and 3,069.82

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Solution

The fourth proportional to 5,587.68, 7,710.88 and 3,069.82 is: 4,236.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,587.68 : 7,710.88 = 3,069.82 : x
  2. Step 2: Convert to fraction form
    5,587.68/7,710.88 = 3,069.82/x
  3. Step 3: Cross multiply
    5,587.68x = 7,710.88 × 3,069.82
  4. Step 4: Simplify right side
    5,587.68x = 23,671,013.64
  5. Step 5: Solve for x
    x = 23,671,013.64/5,587.68
  6. Step 6: Final answer
    x = 4,236.29

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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.