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Finding the Fourth Proportional to 3,587.71, 5,381.84 and 990.63

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Solution

The fourth proportional to 3,587.71, 5,381.84 and 990.63 is: 1,486.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,587.71 : 5,381.84 = 990.63 : x
  2. Step 2: Convert to fraction form
    3,587.71/5,381.84 = 990.63/x
  3. Step 3: Cross multiply
    3,587.71x = 5,381.84 × 990.63
  4. Step 4: Simplify right side
    3,587.71x = 5,331,412.16
  5. Step 5: Solve for x
    x = 5,331,412.16/3,587.71
  6. Step 6: Final answer
    x = 1,486.02

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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.