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Finding the Fourth Proportional to 5,264.76, 7,890.14 and 2,298.71

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Solution

The fourth proportional to 5,264.76, 7,890.14 and 2,298.71 is: 3,445.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.76 : 7,890.14 = 2,298.71 : x
  2. Step 2: Convert to fraction form
    5,264.76/7,890.14 = 2,298.71/x
  3. Step 3: Cross multiply
    5,264.76x = 7,890.14 × 2,298.71
  4. Step 4: Simplify right side
    5,264.76x = 18,137,151.95
  5. Step 5: Solve for x
    x = 18,137,151.95/5,264.76
  6. Step 6: Final answer
    x = 3,445.01

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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.