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Finding the Fourth Proportional to 5,669.87, 7,820.69 and 3,432.42

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Solution

The fourth proportional to 5,669.87, 7,820.69 and 3,432.42 is: 4,734.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.87 : 7,820.69 = 3,432.42 : x
  2. Step 2: Convert to fraction form
    5,669.87/7,820.69 = 3,432.42/x
  3. Step 3: Cross multiply
    5,669.87x = 7,820.69 × 3,432.42
  4. Step 4: Simplify right side
    5,669.87x = 26,843,875.61
  5. Step 5: Solve for x
    x = 26,843,875.61/5,669.87
  6. Step 6: Final answer
    x = 4,734.48

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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.