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Finding the Fourth Proportional to 4,053.41, 6,080.11 and 975.41

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Solution

The fourth proportional to 4,053.41, 6,080.11 and 975.41 is: 1,463.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,053.41 : 6,080.11 = 975.41 : x
  2. Step 2: Convert to fraction form
    4,053.41/6,080.11 = 975.41/x
  3. Step 3: Cross multiply
    4,053.41x = 6,080.11 × 975.41
  4. Step 4: Simplify right side
    4,053.41x = 5,930,569.69
  5. Step 5: Solve for x
    x = 5,930,569.69/4,053.41
  6. Step 6: Final answer
    x = 1,463.11

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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.