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Finding the Fourth Proportional to 5,981.56, 8,970.72 and 2,518

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Solution

The fourth proportional to 5,981.56, 8,970.72 and 2,518 is: 3,776.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,981.56 : 8,970.72 = 2,518 : x
  2. Step 2: Convert to fraction form
    5,981.56/8,970.72 = 2,518/x
  3. Step 3: Cross multiply
    5,981.56x = 8,970.72 × 2,518
  4. Step 4: Simplify right side
    5,981.56x = 22,588,272.96
  5. Step 5: Solve for x
    x = 22,588,272.96/5,981.56
  6. Step 6: Final answer
    x = 3,776.32

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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.