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Finding the Fourth Proportional to 4,999.71, 7,454.21 and 4,869.86

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Solution

The fourth proportional to 4,999.71, 7,454.21 and 4,869.86 is: 7,260.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,999.71 : 7,454.21 = 4,869.86 : x
  2. Step 2: Convert to fraction form
    4,999.71/7,454.21 = 4,869.86/x
  3. Step 3: Cross multiply
    4,999.71x = 7,454.21 × 4,869.86
  4. Step 4: Simplify right side
    4,999.71x = 36,300,897.49
  5. Step 5: Solve for x
    x = 36,300,897.49/4,999.71
  6. Step 6: Final answer
    x = 7,260.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.