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Finding the Fourth Proportional to 3,509.32, 5,265.18 and 1,561.32

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Solution

The fourth proportional to 3,509.32, 5,265.18 and 1,561.32 is: 2,342.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.32 : 5,265.18 = 1,561.32 : x
  2. Step 2: Convert to fraction form
    3,509.32/5,265.18 = 1,561.32/x
  3. Step 3: Cross multiply
    3,509.32x = 5,265.18 × 1,561.32
  4. Step 4: Simplify right side
    3,509.32x = 8,220,630.84
  5. Step 5: Solve for x
    x = 8,220,630.84/3,509.32
  6. Step 6: Final answer
    x = 2,342.51

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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.