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Finding the Fourth Proportional to 3,808.53, 5,710.66 and 1,175.28

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Solution

The fourth proportional to 3,808.53, 5,710.66 and 1,175.28 is: 1,762.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,808.53 : 5,710.66 = 1,175.28 : x
  2. Step 2: Convert to fraction form
    3,808.53/5,710.66 = 1,175.28/x
  3. Step 3: Cross multiply
    3,808.53x = 5,710.66 × 1,175.28
  4. Step 4: Simplify right side
    3,808.53x = 6,711,641.70
  5. Step 5: Solve for x
    x = 6,711,641.70/3,808.53
  6. Step 6: Final answer
    x = 1,762.27

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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.