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Finding the Fourth Proportional to 5,969.85, 8,954.14 and 1,587.75

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Solution

The fourth proportional to 5,969.85, 8,954.14 and 1,587.75 is: 2,381.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.85 : 8,954.14 = 1,587.75 : x
  2. Step 2: Convert to fraction form
    5,969.85/8,954.14 = 1,587.75/x
  3. Step 3: Cross multiply
    5,969.85x = 8,954.14 × 1,587.75
  4. Step 4: Simplify right side
    5,969.85x = 14,216,883.08
  5. Step 5: Solve for x
    x = 14,216,883.08/5,969.85
  6. Step 6: Final answer
    x = 2,381.45

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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.