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Finding the Fourth Proportional to 4,053.25, 6,079.88 and 975.25

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Solution

The fourth proportional to 4,053.25, 6,079.88 and 975.25 is: 1,462.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,053.25 : 6,079.88 = 975.25 : x
  2. Step 2: Convert to fraction form
    4,053.25/6,079.88 = 975.25/x
  3. Step 3: Cross multiply
    4,053.25x = 6,079.88 × 975.25
  4. Step 4: Simplify right side
    4,053.25x = 5,929,402.97
  5. Step 5: Solve for x
    x = 5,929,402.97/4,053.25
  6. Step 6: Final answer
    x = 1,462.88

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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.