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Finding the Fourth Proportional to 5,037.84, 6,949.80 and 4,338

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Solution

The fourth proportional to 5,037.84, 6,949.80 and 4,338 is: 5,984.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,037.84 : 6,949.80 = 4,338 : x
  2. Step 2: Convert to fraction form
    5,037.84/6,949.80 = 4,338/x
  3. Step 3: Cross multiply
    5,037.84x = 6,949.80 × 4,338
  4. Step 4: Simplify right side
    5,037.84x = 30,148,232.40
  5. Step 5: Solve for x
    x = 30,148,232.40/5,037.84
  6. Step 6: Final answer
    x = 5,984.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.