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Finding the Fourth Proportional to 4,985.24, 7,478.52 and 3,817.46

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Solution

The fourth proportional to 4,985.24, 7,478.52 and 3,817.46 is: 5,726.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,985.24 : 7,478.52 = 3,817.46 : x
  2. Step 2: Convert to fraction form
    4,985.24/7,478.52 = 3,817.46/x
  3. Step 3: Cross multiply
    4,985.24x = 7,478.52 × 3,817.46
  4. Step 4: Simplify right side
    4,985.24x = 28,548,950.96
  5. Step 5: Solve for x
    x = 28,548,950.96/4,985.24
  6. Step 6: Final answer
    x = 5,726.70

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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.