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Finding the Fourth Proportional to 4,741.17, 6,532.97 and 4,030.53

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Solution

The fourth proportional to 4,741.17, 6,532.97 and 4,030.53 is: 5,553.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741.17 : 6,532.97 = 4,030.53 : x
  2. Step 2: Convert to fraction form
    4,741.17/6,532.97 = 4,030.53/x
  3. Step 3: Cross multiply
    4,741.17x = 6,532.97 × 4,030.53
  4. Step 4: Simplify right side
    4,741.17x = 26,331,311.42
  5. Step 5: Solve for x
    x = 26,331,311.42/4,741.17
  6. Step 6: Final answer
    x = 5,553.76

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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.