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Finding the Fourth Proportional to 3,275.52, 4,907.52 and 1,541.76

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Solution

The fourth proportional to 3,275.52, 4,907.52 and 1,541.76 is: 2,309.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,275.52 : 4,907.52 = 1,541.76 : x
  2. Step 2: Convert to fraction form
    3,275.52/4,907.52 = 1,541.76/x
  3. Step 3: Cross multiply
    3,275.52x = 4,907.52 × 1,541.76
  4. Step 4: Simplify right side
    3,275.52x = 7,566,218.04
  5. Step 5: Solve for x
    x = 7,566,218.04/3,275.52
  6. Step 6: Final answer
    x = 2,309.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.