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Finding the Fourth Proportional to 5,139.70, 7,709.55 and 3,066.10

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Solution

The fourth proportional to 5,139.70, 7,709.55 and 3,066.10 is: 4,599.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,139.70 : 7,709.55 = 3,066.10 : x
  2. Step 2: Convert to fraction form
    5,139.70/7,709.55 = 3,066.10/x
  3. Step 3: Cross multiply
    5,139.70x = 7,709.55 × 3,066.10
  4. Step 4: Simplify right side
    5,139.70x = 23,638,251.26
  5. Step 5: Solve for x
    x = 23,638,251.26/5,139.70
  6. Step 6: Final answer
    x = 4,599.15

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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.