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Finding the Fourth Proportional to 4,823.52, 6,649.20 and 3,773.76

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Solution

The fourth proportional to 4,823.52, 6,649.20 and 3,773.76 is: 5,202.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,823.52 : 6,649.20 = 3,773.76 : x
  2. Step 2: Convert to fraction form
    4,823.52/6,649.20 = 3,773.76/x
  3. Step 3: Cross multiply
    4,823.52x = 6,649.20 × 3,773.76
  4. Step 4: Simplify right side
    4,823.52x = 25,092,484.99
  5. Step 5: Solve for x
    x = 25,092,484.99/4,823.52
  6. Step 6: Final answer
    x = 5,202.11

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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.