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Finding the Fourth Proportional to 3,006.88, 4,509.94 and 1,275.92

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Solution

The fourth proportional to 3,006.88, 4,509.94 and 1,275.92 is: 1,913.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,006.88 : 4,509.94 = 1,275.92 : x
  2. Step 2: Convert to fraction form
    3,006.88/4,509.94 = 1,275.92/x
  3. Step 3: Cross multiply
    3,006.88x = 4,509.94 × 1,275.92
  4. Step 4: Simplify right side
    3,006.88x = 5,754,322.64
  5. Step 5: Solve for x
    x = 5,754,322.64/3,006.88
  6. Step 6: Final answer
    x = 1,913.72

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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.