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Finding the Fourth Proportional to 4,841.76, 7,254 and 2,890.20

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Solution

The fourth proportional to 4,841.76, 7,254 and 2,890.20 is: 4,330.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,841.76 : 7,254 = 2,890.20 : x
  2. Step 2: Convert to fraction form
    4,841.76/7,254 = 2,890.20/x
  3. Step 3: Cross multiply
    4,841.76x = 7,254 × 2,890.20
  4. Step 4: Simplify right side
    4,841.76x = 20,965,510.80
  5. Step 5: Solve for x
    x = 20,965,510.80/4,841.76
  6. Step 6: Final answer
    x = 4,330.14

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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.