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Finding the Fourth Proportional to 4,741.12, 7,113.17 and 1,454.68

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Solution

The fourth proportional to 4,741.12, 7,113.17 and 1,454.68 is: 2,182.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741.12 : 7,113.17 = 1,454.68 : x
  2. Step 2: Convert to fraction form
    4,741.12/7,113.17 = 1,454.68/x
  3. Step 3: Cross multiply
    4,741.12x = 7,113.17 × 1,454.68
  4. Step 4: Simplify right side
    4,741.12x = 10,347,386.14
  5. Step 5: Solve for x
    x = 10,347,386.14/4,741.12
  6. Step 6: Final answer
    x = 2,182.48

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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.