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Finding the Fourth Proportional to 3,587.78, 5,381.98 and 990.72

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Solution

The fourth proportional to 3,587.78, 5,381.98 and 990.72 is: 1,486.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,587.78 : 5,381.98 = 990.72 : x
  2. Step 2: Convert to fraction form
    3,587.78/5,381.98 = 990.72/x
  3. Step 3: Cross multiply
    3,587.78x = 5,381.98 × 990.72
  4. Step 4: Simplify right side
    3,587.78x = 5,332,035.23
  5. Step 5: Solve for x
    x = 5,332,035.23/3,587.78
  6. Step 6: Final answer
    x = 1,486.17

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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.