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Finding the Fourth Proportional to 5,210.88, 7,190.82 and 2,853

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Solution

The fourth proportional to 5,210.88, 7,190.82 and 2,853 is: 3,937.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.88 : 7,190.82 = 2,853 : x
  2. Step 2: Convert to fraction form
    5,210.88/7,190.82 = 2,853/x
  3. Step 3: Cross multiply
    5,210.88x = 7,190.82 × 2,853
  4. Step 4: Simplify right side
    5,210.88x = 20,515,409.46
  5. Step 5: Solve for x
    x = 20,515,409.46/5,210.88
  6. Step 6: Final answer
    x = 3,937.03

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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.