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Finding the Fourth Proportional to 5,635.68, 8,454.28 and 2,348.00

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Solution

The fourth proportional to 5,635.68, 8,454.28 and 2,348.00 is: 3,522.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,635.68 : 8,454.28 = 2,348.00 : x
  2. Step 2: Convert to fraction form
    5,635.68/8,454.28 = 2,348.00/x
  3. Step 3: Cross multiply
    5,635.68x = 8,454.28 × 2,348.00
  4. Step 4: Simplify right side
    5,635.68x = 19,850,655.90
  5. Step 5: Solve for x
    x = 19,850,655.90/5,635.68
  6. Step 6: Final answer
    x = 3,522.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.