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Finding the Fourth Proportional to 3,663.59, 5,495.96 and 1,584.23

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Solution

The fourth proportional to 3,663.59, 5,495.96 and 1,584.23 is: 2,376.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,663.59 : 5,495.96 = 1,584.23 : x
  2. Step 2: Convert to fraction form
    3,663.59/5,495.96 = 1,584.23/x
  3. Step 3: Cross multiply
    3,663.59x = 5,495.96 × 1,584.23
  4. Step 4: Simplify right side
    3,663.59x = 8,706,841.19
  5. Step 5: Solve for x
    x = 8,706,841.19/3,663.59
  6. Step 6: Final answer
    x = 2,376.59

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1.5x scale

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.