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Finding the Fourth Proportional to 3,565.06, 4,922.10 and 3,191.40

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Solution

The fourth proportional to 3,565.06, 4,922.10 and 3,191.40 is: 4,406.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.06 : 4,922.10 = 3,191.40 : x
  2. Step 2: Convert to fraction form
    3,565.06/4,922.10 = 3,191.40/x
  3. Step 3: Cross multiply
    3,565.06x = 4,922.10 × 3,191.40
  4. Step 4: Simplify right side
    3,565.06x = 15,708,389.94
  5. Step 5: Solve for x
    x = 15,708,389.94/3,565.06
  6. Step 6: Final answer
    x = 4,406.21

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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.