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Finding the Fourth Proportional to 5,264.80, 7,266.36 and 3,140.46

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Solution

The fourth proportional to 5,264.80, 7,266.36 and 3,140.46 is: 4,334.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.80 : 7,266.36 = 3,140.46 : x
  2. Step 2: Convert to fraction form
    5,264.80/7,266.36 = 3,140.46/x
  3. Step 3: Cross multiply
    5,264.80x = 7,266.36 × 3,140.46
  4. Step 4: Simplify right side
    5,264.80x = 22,819,712.93
  5. Step 5: Solve for x
    x = 22,819,712.93/5,264.80
  6. Step 6: Final answer
    x = 4,334.39

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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.