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Finding the Fourth Proportional to 5,723.60, 7,892.32 and 4,970.90

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Solution

The fourth proportional to 5,723.60, 7,892.32 and 4,970.90 is: 6,854.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,723.60 : 7,892.32 = 4,970.90 : x
  2. Step 2: Convert to fraction form
    5,723.60/7,892.32 = 4,970.90/x
  3. Step 3: Cross multiply
    5,723.60x = 7,892.32 × 4,970.90
  4. Step 4: Simplify right side
    5,723.60x = 39,231,933.49
  5. Step 5: Solve for x
    x = 39,231,933.49/5,723.60
  6. Step 6: Final answer
    x = 6,854.42

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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.