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Finding the Fourth Proportional to 4,897.59, 6,756.39 and 2,800.50

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Solution

The fourth proportional to 4,897.59, 6,756.39 and 2,800.50 is: 3,863.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.59 : 6,756.39 = 2,800.50 : x
  2. Step 2: Convert to fraction form
    4,897.59/6,756.39 = 2,800.50/x
  3. Step 3: Cross multiply
    4,897.59x = 6,756.39 × 2,800.50
  4. Step 4: Simplify right side
    4,897.59x = 18,921,270.20
  5. Step 5: Solve for x
    x = 18,921,270.20/4,897.59
  6. Step 6: Final answer
    x = 3,863.38

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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.