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Finding the Fourth Proportional to 3,585.72, 5,377.62 and 988.80

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Solution

The fourth proportional to 3,585.72, 5,377.62 and 988.80 is: 1,482.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,585.72 : 5,377.62 = 988.80 : x
  2. Step 2: Convert to fraction form
    3,585.72/5,377.62 = 988.80/x
  3. Step 3: Cross multiply
    3,585.72x = 5,377.62 × 988.80
  4. Step 4: Simplify right side
    3,585.72x = 5,317,390.66
  5. Step 5: Solve for x
    x = 5,317,390.66/3,585.72
  6. Step 6: Final answer
    x = 1,482.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.