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Finding the Fourth Proportional to 5,460.90, 8,192.64 and 1,565.22

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Solution

The fourth proportional to 5,460.90, 8,192.64 and 1,565.22 is: 2,348.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,460.90 : 8,192.64 = 1,565.22 : x
  2. Step 2: Convert to fraction form
    5,460.90/8,192.64 = 1,565.22/x
  3. Step 3: Cross multiply
    5,460.90x = 8,192.64 × 1,565.22
  4. Step 4: Simplify right side
    5,460.90x = 12,823,283.98
  5. Step 5: Solve for x
    x = 12,823,283.98/5,460.90
  6. Step 6: Final answer
    x = 2,348.20

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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.