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Finding the Fourth Proportional to 3,565.34, 4,921.52 and 3,191.63

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Solution

The fourth proportional to 3,565.34, 4,921.52 and 3,191.63 is: 4,405.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.34 : 4,921.52 = 3,191.63 : x
  2. Step 2: Convert to fraction form
    3,565.34/4,921.52 = 3,191.63/x
  3. Step 3: Cross multiply
    3,565.34x = 4,921.52 × 3,191.63
  4. Step 4: Simplify right side
    3,565.34x = 15,707,630.31
  5. Step 5: Solve for x
    x = 15,707,630.31/3,565.34
  6. Step 6: Final answer
    x = 4,405.65

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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.