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Finding the Fourth Proportional to 5,693.60, 7,864.40 and 4,199.20

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Solution

The fourth proportional to 5,693.60, 7,864.40 and 4,199.20 is: 5,800.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.60 : 7,864.40 = 4,199.20 : x
  2. Step 2: Convert to fraction form
    5,693.60/7,864.40 = 4,199.20/x
  3. Step 3: Cross multiply
    5,693.60x = 7,864.40 × 4,199.20
  4. Step 4: Simplify right side
    5,693.60x = 33,024,188.48
  5. Step 5: Solve for x
    x = 33,024,188.48/5,693.60
  6. Step 6: Final answer
    x = 5,800.23

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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.