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Finding the Fourth Proportional to 5,264.61, 7,265.09 and 2,906.70

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Solution

The fourth proportional to 5,264.61, 7,265.09 and 2,906.70 is: 4,011.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.61 : 7,265.09 = 2,906.70 : x
  2. Step 2: Convert to fraction form
    5,264.61/7,265.09 = 2,906.70/x
  3. Step 3: Cross multiply
    5,264.61x = 7,265.09 × 2,906.70
  4. Step 4: Simplify right side
    5,264.61x = 21,117,437.10
  5. Step 5: Solve for x
    x = 21,117,437.10/5,264.61
  6. Step 6: Final answer
    x = 4,011.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.