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Finding the Fourth Proportional to 3,710.79, 5,565.65 and 1,401.75

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Solution

The fourth proportional to 3,710.79, 5,565.65 and 1,401.75 is: 2,102.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.79 : 5,565.65 = 1,401.75 : x
  2. Step 2: Convert to fraction form
    3,710.79/5,565.65 = 1,401.75/x
  3. Step 3: Cross multiply
    3,710.79x = 5,565.65 × 1,401.75
  4. Step 4: Simplify right side
    3,710.79x = 7,801,642.88
  5. Step 5: Solve for x
    x = 7,801,642.88/3,710.79
  6. Step 6: Final answer
    x = 2,102.42

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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.