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Finding the Fourth Proportional to 4,929.32, 7,393.98 and 2,006.84

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Solution

The fourth proportional to 4,929.32, 7,393.98 and 2,006.84 is: 3,010.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,929.32 : 7,393.98 = 2,006.84 : x
  2. Step 2: Convert to fraction form
    4,929.32/7,393.98 = 2,006.84/x
  3. Step 3: Cross multiply
    4,929.32x = 7,393.98 × 2,006.84
  4. Step 4: Simplify right side
    4,929.32x = 14,838,534.82
  5. Step 5: Solve for x
    x = 14,838,534.82/4,929.32
  6. Step 6: Final answer
    x = 3,010.26

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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.