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Finding the Fourth Proportional to 5,969.35, 8,953.98 and 1,587.12

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Solution

The fourth proportional to 5,969.35, 8,953.98 and 1,587.12 is: 2,380.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.35 : 8,953.98 = 1,587.12 : x
  2. Step 2: Convert to fraction form
    5,969.35/8,953.98 = 1,587.12/x
  3. Step 3: Cross multiply
    5,969.35x = 8,953.98 × 1,587.12
  4. Step 4: Simplify right side
    5,969.35x = 14,211,040.74
  5. Step 5: Solve for x
    x = 14,211,040.74/5,969.35
  6. Step 6: Final answer
    x = 2,380.67

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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.