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Finding the Fourth Proportional to 5,719.60, 7,914.56 and 4,878.96

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Solution

The fourth proportional to 5,719.60, 7,914.56 and 4,878.96 is: 6,751.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,719.60 : 7,914.56 = 4,878.96 : x
  2. Step 2: Convert to fraction form
    5,719.60/7,914.56 = 4,878.96/x
  3. Step 3: Cross multiply
    5,719.60x = 7,914.56 × 4,878.96
  4. Step 4: Simplify right side
    5,719.60x = 38,614,821.66
  5. Step 5: Solve for x
    x = 38,614,821.66/5,719.60
  6. Step 6: Final answer
    x = 6,751.32

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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.