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Finding the Fourth Proportional to 5,351.63, 8,024.36 and 1,652.87

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Solution

The fourth proportional to 5,351.63, 8,024.36 and 1,652.87 is: 2,478.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,351.63 : 8,024.36 = 1,652.87 : x
  2. Step 2: Convert to fraction form
    5,351.63/8,024.36 = 1,652.87/x
  3. Step 3: Cross multiply
    5,351.63x = 8,024.36 × 1,652.87
  4. Step 4: Simplify right side
    5,351.63x = 13,263,223.91
  5. Step 5: Solve for x
    x = 13,263,223.91/5,351.63
  6. Step 6: Final answer
    x = 2,478.35

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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.