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Finding the Fourth Proportional to 5,165.84, 7,749.30 and 2,568.08

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Solution

The fourth proportional to 5,165.84, 7,749.30 and 2,568.08 is: 3,852.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.84 : 7,749.30 = 2,568.08 : x
  2. Step 2: Convert to fraction form
    5,165.84/7,749.30 = 2,568.08/x
  3. Step 3: Cross multiply
    5,165.84x = 7,749.30 × 2,568.08
  4. Step 4: Simplify right side
    5,165.84x = 19,900,822.34
  5. Step 5: Solve for x
    x = 19,900,822.34/5,165.84
  6. Step 6: Final answer
    x = 3,852.39

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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.