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Finding the Fourth Proportional to 3,808.65, 5,710.85 and 1,175.41

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Solution

The fourth proportional to 3,808.65, 5,710.85 and 1,175.41 is: 1,762.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.65 : 5,710.85 = 1,175.41 : x
  2. Step 2: Convert to fraction form
    3,808.65/5,710.85 = 1,175.41/x
  3. Step 3: Cross multiply
    3,808.65x = 5,710.85 × 1,175.41
  4. Step 4: Simplify right side
    3,808.65x = 6,712,578.86
  5. Step 5: Solve for x
    x = 6,712,578.86/3,808.65
  6. Step 6: Final answer
    x = 1,762.46

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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.