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Finding the Fourth Proportional to 3,422.34, 5,124.74 and 2,730

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Solution

The fourth proportional to 3,422.34, 5,124.74 and 2,730 is: 4,088.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422.34 : 5,124.74 = 2,730 : x
  2. Step 2: Convert to fraction form
    3,422.34/5,124.74 = 2,730/x
  3. Step 3: Cross multiply
    3,422.34x = 5,124.74 × 2,730
  4. Step 4: Simplify right side
    3,422.34x = 13,990,540.20
  5. Step 5: Solve for x
    x = 13,990,540.20/3,422.34
  6. Step 6: Final answer
    x = 4,088.00

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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.