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Finding the Fourth Proportional to 4,592.32, 6,888.40 and 1,129.44

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Solution

The fourth proportional to 4,592.32, 6,888.40 and 1,129.44 is: 1,694.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,592.32 : 6,888.40 = 1,129.44 : x
  2. Step 2: Convert to fraction form
    4,592.32/6,888.40 = 1,129.44/x
  3. Step 3: Cross multiply
    4,592.32x = 6,888.40 × 1,129.44
  4. Step 4: Simplify right side
    4,592.32x = 7,780,034.50
  5. Step 5: Solve for x
    x = 7,780,034.50/4,592.32
  6. Step 6: Final answer
    x = 1,694.14

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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.