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Finding the Fourth Proportional to 5,351.64, 8,024.52 and 1,652.84

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Solution

The fourth proportional to 5,351.64, 8,024.52 and 1,652.84 is: 2,478.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,351.64 : 8,024.52 = 1,652.84 : x
  2. Step 2: Convert to fraction form
    5,351.64/8,024.52 = 1,652.84/x
  3. Step 3: Cross multiply
    5,351.64x = 8,024.52 × 1,652.84
  4. Step 4: Simplify right side
    5,351.64x = 13,263,247.64
  5. Step 5: Solve for x
    x = 13,263,247.64/5,351.64
  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.