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Finding the Fourth Proportional to 3,531.94, 5,298.01 and 934.88

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Solution

The fourth proportional to 3,531.94, 5,298.01 and 934.88 is: 1,402.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,531.94 : 5,298.01 = 934.88 : x
  2. Step 2: Convert to fraction form
    3,531.94/5,298.01 = 934.88/x
  3. Step 3: Cross multiply
    3,531.94x = 5,298.01 × 934.88
  4. Step 4: Simplify right side
    3,531.94x = 4,952,974.76
  5. Step 5: Solve for x
    x = 4,952,974.76/3,531.94
  6. Step 6: Final answer
    x = 1,402.34

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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.