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Finding the Fourth Proportional to 3,532, 5,295.66 and 1,557.64

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Solution

The fourth proportional to 3,532, 5,295.66 and 1,557.64 is: 2,335.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,532 : 5,295.66 = 1,557.64 : x
  2. Step 2: Convert to fraction form
    3,532/5,295.66 = 1,557.64/x
  3. Step 3: Cross multiply
    3,532x = 5,295.66 × 1,557.64
  4. Step 4: Simplify right side
    3,532x = 8,248,731.84
  5. Step 5: Solve for x
    x = 8,248,731.84/3,532
  6. Step 6: Final answer
    x = 2,335.43

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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.