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Finding the Fourth Proportional to 5,713.30, 8,557.80 and 4,741.30

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Solution

The fourth proportional to 5,713.30, 8,557.80 and 4,741.30 is: 7,101.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,713.30 : 8,557.80 = 4,741.30 : x
  2. Step 2: Convert to fraction form
    5,713.30/8,557.80 = 4,741.30/x
  3. Step 3: Cross multiply
    5,713.30x = 8,557.80 × 4,741.30
  4. Step 4: Simplify right side
    5,713.30x = 40,575,097.14
  5. Step 5: Solve for x
    x = 40,575,097.14/5,713.30
  6. Step 6: Final answer
    x = 7,101.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.