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Finding the Fourth Proportional to 3,565.37, 5,346.63 and 1,372.88

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Solution

The fourth proportional to 3,565.37, 5,346.63 and 1,372.88 is: 2,058.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.37 : 5,346.63 = 1,372.88 : x
  2. Step 2: Convert to fraction form
    3,565.37/5,346.63 = 1,372.88/x
  3. Step 3: Cross multiply
    3,565.37x = 5,346.63 × 1,372.88
  4. Step 4: Simplify right side
    3,565.37x = 7,340,281.39
  5. Step 5: Solve for x
    x = 7,340,281.39/3,565.37
  6. Step 6: Final answer
    x = 2,058.77

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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.