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Finding the Fourth Proportional to 5,264.84, 7,265.30 and 2,906.76

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Solution

The fourth proportional to 5,264.84, 7,265.30 and 2,906.76 is: 4,011.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.84 : 7,265.30 = 2,906.76 : x
  2. Step 2: Convert to fraction form
    5,264.84/7,265.30 = 2,906.76/x
  3. Step 3: Cross multiply
    5,264.84x = 7,265.30 × 2,906.76
  4. Step 4: Simplify right side
    5,264.84x = 21,118,483.43
  5. Step 5: Solve for x
    x = 21,118,483.43/5,264.84
  6. Step 6: Final answer
    x = 4,011.23

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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.