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Finding the Fourth Proportional to 3,587.16, 5,380.32 and 989.76

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Solution

The fourth proportional to 3,587.16, 5,380.32 and 989.76 is: 1,484.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,587.16 : 5,380.32 = 989.76 : x
  2. Step 2: Convert to fraction form
    3,587.16/5,380.32 = 989.76/x
  3. Step 3: Cross multiply
    3,587.16x = 5,380.32 × 989.76
  4. Step 4: Simplify right side
    3,587.16x = 5,325,225.52
  5. Step 5: Solve for x
    x = 5,325,225.52/3,587.16
  6. Step 6: Final answer
    x = 1,484.52

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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.