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Finding the Fourth Proportional to 3,869.11, 5,762.90 and 3,788.11

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Solution

The fourth proportional to 3,869.11, 5,762.90 and 3,788.11 is: 5,642.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.11 : 5,762.90 = 3,788.11 : x
  2. Step 2: Convert to fraction form
    3,869.11/5,762.90 = 3,788.11/x
  3. Step 3: Cross multiply
    3,869.11x = 5,762.90 × 3,788.11
  4. Step 4: Simplify right side
    3,869.11x = 21,830,499.12
  5. Step 5: Solve for x
    x = 21,830,499.12/3,869.11
  6. Step 6: Final answer
    x = 5,642.25

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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.