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Finding the Fourth Proportional to 5,264.30, 7,266.16 and 3,026.40

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Solution

The fourth proportional to 5,264.30, 7,266.16 and 3,026.40 is: 4,177.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.30 : 7,266.16 = 3,026.40 : x
  2. Step 2: Convert to fraction form
    5,264.30/7,266.16 = 3,026.40/x
  3. Step 3: Cross multiply
    5,264.30x = 7,266.16 × 3,026.40
  4. Step 4: Simplify right side
    5,264.30x = 21,990,306.62
  5. Step 5: Solve for x
    x = 21,990,306.62/5,264.30
  6. Step 6: Final answer
    x = 4,177.25

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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.