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Finding the Fourth Proportional to 3,585.89, 5,378.69 and 988.76

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Solution

The fourth proportional to 3,585.89, 5,378.69 and 988.76 is: 1,483.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.89 : 5,378.69 = 988.76 : x
  2. Step 2: Convert to fraction form
    3,585.89/5,378.69 = 988.76/x
  3. Step 3: Cross multiply
    3,585.89x = 5,378.69 × 988.76
  4. Step 4: Simplify right side
    3,585.89x = 5,318,209.10
  5. Step 5: Solve for x
    x = 5,318,209.10/3,585.89
  6. Step 6: Final answer
    x = 1,483.10

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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.