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Finding the Fourth Proportional to 4,074.74, 6,113.19 and 1,301.47

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Solution

The fourth proportional to 4,074.74, 6,113.19 and 1,301.47 is: 1,952.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074.74 : 6,113.19 = 1,301.47 : x
  2. Step 2: Convert to fraction form
    4,074.74/6,113.19 = 1,301.47/x
  3. Step 3: Cross multiply
    4,074.74x = 6,113.19 × 1,301.47
  4. Step 4: Simplify right side
    4,074.74x = 7,956,150.05
  5. Step 5: Solve for x
    x = 7,956,150.05/4,074.74
  6. Step 6: Final answer
    x = 1,952.55

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