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Finding the Fourth Proportional to 5,264.70, 7,266.06 and 4,708.14

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Solution

The fourth proportional to 5,264.70, 7,266.06 and 4,708.14 is: 6,497.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.70 : 7,266.06 = 4,708.14 : x
  2. Step 2: Convert to fraction form
    5,264.70/7,266.06 = 4,708.14/x
  3. Step 3: Cross multiply
    5,264.70x = 7,266.06 × 4,708.14
  4. Step 4: Simplify right side
    5,264.70x = 34,209,627.73
  5. Step 5: Solve for x
    x = 34,209,627.73/5,264.70
  6. Step 6: Final answer
    x = 6,497.93

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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.