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Finding the Fourth Proportional to 5,302.70, 7,954.05 and 2,530.70

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Solution

The fourth proportional to 5,302.70, 7,954.05 and 2,530.70 is: 3,796.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.70 : 7,954.05 = 2,530.70 : x
  2. Step 2: Convert to fraction form
    5,302.70/7,954.05 = 2,530.70/x
  3. Step 3: Cross multiply
    5,302.70x = 7,954.05 × 2,530.70
  4. Step 4: Simplify right side
    5,302.70x = 20,129,314.34
  5. Step 5: Solve for x
    x = 20,129,314.34/5,302.70
  6. Step 6: Final answer
    x = 3,796.05

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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.