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Finding the Fourth Proportional to 5,675.40, 7,831.68 and 3,157.32

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Solution

The fourth proportional to 5,675.40, 7,831.68 and 3,157.32 is: 4,356.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,675.40 : 7,831.68 = 3,157.32 : x
  2. Step 2: Convert to fraction form
    5,675.40/7,831.68 = 3,157.32/x
  3. Step 3: Cross multiply
    5,675.40x = 7,831.68 × 3,157.32
  4. Step 4: Simplify right side
    5,675.40x = 24,727,119.90
  5. Step 5: Solve for x
    x = 24,727,119.90/5,675.40
  6. Step 6: Final answer
    x = 4,356.89

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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.