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Finding the Fourth Proportional to 4,929.84, 7,392.90 and 2,006.55

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Solution

The fourth proportional to 4,929.84, 7,392.90 and 2,006.55 is: 3,009.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,929.84 : 7,392.90 = 2,006.55 : x
  2. Step 2: Convert to fraction form
    4,929.84/7,392.90 = 2,006.55/x
  3. Step 3: Cross multiply
    4,929.84x = 7,392.90 × 2,006.55
  4. Step 4: Simplify right side
    4,929.84x = 14,834,223.50
  5. Step 5: Solve for x
    x = 14,834,223.50/4,929.84
  6. Step 6: Final answer
    x = 3,009.07

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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.