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Finding the Fourth Proportional to 4,844.62, 7,267.88 and 1,557.46

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Solution

The fourth proportional to 4,844.62, 7,267.88 and 1,557.46 is: 2,336.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,844.62 : 7,267.88 = 1,557.46 : x
  2. Step 2: Convert to fraction form
    4,844.62/7,267.88 = 1,557.46/x
  3. Step 3: Cross multiply
    4,844.62x = 7,267.88 × 1,557.46
  4. Step 4: Simplify right side
    4,844.62x = 11,319,432.38
  5. Step 5: Solve for x
    x = 11,319,432.38/4,844.62
  6. Step 6: Final answer
    x = 2,336.50

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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.