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Finding the Fourth Proportional to 5,719.56, 7,907.70 and 4,397.64

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Solution

The fourth proportional to 5,719.56, 7,907.70 and 4,397.64 is: 6,080.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,719.56 : 7,907.70 = 4,397.64 : x
  2. Step 2: Convert to fraction form
    5,719.56/7,907.70 = 4,397.64/x
  3. Step 3: Cross multiply
    5,719.56x = 7,907.70 × 4,397.64
  4. Step 4: Simplify right side
    5,719.56x = 34,775,217.83
  5. Step 5: Solve for x
    x = 34,775,217.83/5,719.56
  6. Step 6: Final answer
    x = 6,080.05

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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.