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Finding the Fourth Proportional to 4,053.48, 6,080.21 and 975.48

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Solution

The fourth proportional to 4,053.48, 6,080.21 and 975.48 is: 1,463.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,053.48 : 6,080.21 = 975.48 : x
  2. Step 2: Convert to fraction form
    4,053.48/6,080.21 = 975.48/x
  3. Step 3: Cross multiply
    4,053.48x = 6,080.21 × 975.48
  4. Step 4: Simplify right side
    4,053.48x = 5,931,123.25
  5. Step 5: Solve for x
    x = 5,931,123.25/4,053.48
  6. Step 6: Final answer
    x = 1,463.22

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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.