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Finding the Fourth Proportional to 3,399.52, 4,685.52 and 2,560

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Solution

The fourth proportional to 3,399.52, 4,685.52 and 2,560 is: 3,528.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,399.52 : 4,685.52 = 2,560 : x
  2. Step 2: Convert to fraction form
    3,399.52/4,685.52 = 2,560/x
  3. Step 3: Cross multiply
    3,399.52x = 4,685.52 × 2,560
  4. Step 4: Simplify right side
    3,399.52x = 11,994,931.20
  5. Step 5: Solve for x
    x = 11,994,931.20/3,399.52
  6. Step 6: Final answer
    x = 3,528.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.