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Finding the Fourth Proportional to 3,565.76, 5,313.10 and 3,177.80

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Solution

The fourth proportional to 3,565.76, 5,313.10 and 3,177.80 is: 4,735.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.76 : 5,313.10 = 3,177.80 : x
  2. Step 2: Convert to fraction form
    3,565.76/5,313.10 = 3,177.80/x
  3. Step 3: Cross multiply
    3,565.76x = 5,313.10 × 3,177.80
  4. Step 4: Simplify right side
    3,565.76x = 16,883,969.18
  5. Step 5: Solve for x
    x = 16,883,969.18/3,565.76
  6. Step 6: Final answer
    x = 4,735.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.