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Finding the Fourth Proportional to 4,489.24, 6,734.56 and 1,368.53

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Solution

The fourth proportional to 4,489.24, 6,734.56 and 1,368.53 is: 2,053.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,489.24 : 6,734.56 = 1,368.53 : x
  2. Step 2: Convert to fraction form
    4,489.24/6,734.56 = 1,368.53/x
  3. Step 3: Cross multiply
    4,489.24x = 6,734.56 × 1,368.53
  4. Step 4: Simplify right side
    4,489.24x = 9,216,431.13
  5. Step 5: Solve for x
    x = 9,216,431.13/4,489.24
  6. Step 6: Final answer
    x = 2,053.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.