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Finding the Fourth Proportional to 4,649.48, 6,974.38 and 1,688.53

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Solution

The fourth proportional to 4,649.48, 6,974.38 and 1,688.53 is: 2,532.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,649.48 : 6,974.38 = 1,688.53 : x
  2. Step 2: Convert to fraction form
    4,649.48/6,974.38 = 1,688.53/x
  3. Step 3: Cross multiply
    4,649.48x = 6,974.38 × 1,688.53
  4. Step 4: Simplify right side
    4,649.48x = 11,776,449.86
  5. Step 5: Solve for x
    x = 11,776,449.86/4,649.48
  6. Step 6: Final answer
    x = 2,532.85

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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.