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Finding the Fourth Proportional to 3,642.85, 5,465.88 and 1,911.07

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Solution

The fourth proportional to 3,642.85, 5,465.88 and 1,911.07 is: 2,867.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.85 : 5,465.88 = 1,911.07 : x
  2. Step 2: Convert to fraction form
    3,642.85/5,465.88 = 1,911.07/x
  3. Step 3: Cross multiply
    3,642.85x = 5,465.88 × 1,911.07
  4. Step 4: Simplify right side
    3,642.85x = 10,445,679.29
  5. Step 5: Solve for x
    x = 10,445,679.29/3,642.85
  6. Step 6: Final answer
    x = 2,867.45

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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.