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Finding the Fourth Proportional to 4,958.53, 7,437.80 and 3,710.42

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Solution

The fourth proportional to 4,958.53, 7,437.80 and 3,710.42 is: 5,565.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,958.53 : 7,437.80 = 3,710.42 : x
  2. Step 2: Convert to fraction form
    4,958.53/7,437.80 = 3,710.42/x
  3. Step 3: Cross multiply
    4,958.53x = 7,437.80 × 3,710.42
  4. Step 4: Simplify right side
    4,958.53x = 27,597,343.32
  5. Step 5: Solve for x
    x = 27,597,343.32/4,958.53
  6. Step 6: Final answer
    x = 5,565.64

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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.