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Finding the Fourth Proportional to 4,053.69, 6,080.54 and 975.69

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Solution

The fourth proportional to 4,053.69, 6,080.54 and 975.69 is: 1,463.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,053.69 : 6,080.54 = 975.69 : x
  2. Step 2: Convert to fraction form
    4,053.69/6,080.54 = 975.69/x
  3. Step 3: Cross multiply
    4,053.69x = 6,080.54 × 975.69
  4. Step 4: Simplify right side
    4,053.69x = 5,932,717.19
  5. Step 5: Solve for x
    x = 5,932,717.19/4,053.69
  6. Step 6: Final answer
    x = 1,463.54

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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.