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Finding the Fourth Proportional to 4,748.76, 7,116.66 and 2,283.39

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Solution

The fourth proportional to 4,748.76, 7,116.66 and 2,283.39 is: 3,421.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,748.76 : 7,116.66 = 2,283.39 : x
  2. Step 2: Convert to fraction form
    4,748.76/7,116.66 = 2,283.39/x
  3. Step 3: Cross multiply
    4,748.76x = 7,116.66 × 2,283.39
  4. Step 4: Simplify right side
    4,748.76x = 16,250,110.28
  5. Step 5: Solve for x
    x = 16,250,110.28/4,748.76
  6. Step 6: Final answer
    x = 3,421.97

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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.