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Finding the Fourth Proportional to 5,483.60, 8,223 and 1,587.92

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Solution

The fourth proportional to 5,483.60, 8,223 and 1,587.92 is: 2,381.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,483.60 : 8,223 = 1,587.92 : x
  2. Step 2: Convert to fraction form
    5,483.60/8,223 = 1,587.92/x
  3. Step 3: Cross multiply
    5,483.60x = 8,223 × 1,587.92
  4. Step 4: Simplify right side
    5,483.60x = 13,057,466.16
  5. Step 5: Solve for x
    x = 13,057,466.16/5,483.60
  6. Step 6: Final answer
    x = 2,381.19

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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.