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Finding the Fourth Proportional to 5,145.70, 7,102.05 and 3,021.70

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Solution

The fourth proportional to 5,145.70, 7,102.05 and 3,021.70 is: 4,170.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.70 : 7,102.05 = 3,021.70 : x
  2. Step 2: Convert to fraction form
    5,145.70/7,102.05 = 3,021.70/x
  3. Step 3: Cross multiply
    5,145.70x = 7,102.05 × 3,021.70
  4. Step 4: Simplify right side
    5,145.70x = 21,460,264.49
  5. Step 5: Solve for x
    x = 21,460,264.49/5,145.70
  6. Step 6: Final answer
    x = 4,170.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.