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Finding the Fourth Proportional to 5,403.88, 7,457.20 and 3,013.76

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Solution

The fourth proportional to 5,403.88, 7,457.20 and 3,013.76 is: 4,158.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,403.88 : 7,457.20 = 3,013.76 : x
  2. Step 2: Convert to fraction form
    5,403.88/7,457.20 = 3,013.76/x
  3. Step 3: Cross multiply
    5,403.88x = 7,457.20 × 3,013.76
  4. Step 4: Simplify right side
    5,403.88x = 22,474,211.07
  5. Step 5: Solve for x
    x = 22,474,211.07/5,403.88
  6. Step 6: Final answer
    x = 4,158.90

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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.