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Finding the Fourth Proportional to 5,461.08, 8,190.18 and 1,565.70

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Solution

The fourth proportional to 5,461.08, 8,190.18 and 1,565.70 is: 2,348.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,461.08 : 8,190.18 = 1,565.70 : x
  2. Step 2: Convert to fraction form
    5,461.08/8,190.18 = 1,565.70/x
  3. Step 3: Cross multiply
    5,461.08x = 8,190.18 × 1,565.70
  4. Step 4: Simplify right side
    5,461.08x = 12,823,364.83
  5. Step 5: Solve for x
    x = 12,823,364.83/5,461.08
  6. Step 6: Final answer
    x = 2,348.14

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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.