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Finding the Fourth Proportional to 4,949.88, 7,402.74 and 4,490.52

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Solution

The fourth proportional to 4,949.88, 7,402.74 and 4,490.52 is: 6,715.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,949.88 : 7,402.74 = 4,490.52 : x
  2. Step 2: Convert to fraction form
    4,949.88/7,402.74 = 4,490.52/x
  3. Step 3: Cross multiply
    4,949.88x = 7,402.74 × 4,490.52
  4. Step 4: Simplify right side
    4,949.88x = 33,242,152.02
  5. Step 5: Solve for x
    x = 33,242,152.02/4,949.88
  6. Step 6: Final answer
    x = 6,715.75

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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.