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Finding the Fourth Proportional to 5,002.16, 6,902.95 and 2,764.03

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Solution

The fourth proportional to 5,002.16, 6,902.95 and 2,764.03 is: 3,814.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,002.16 : 6,902.95 = 2,764.03 : x
  2. Step 2: Convert to fraction form
    5,002.16/6,902.95 = 2,764.03/x
  3. Step 3: Cross multiply
    5,002.16x = 6,902.95 × 2,764.03
  4. Step 4: Simplify right side
    5,002.16x = 19,079,971.24
  5. Step 5: Solve for x
    x = 19,079,971.24/5,002.16
  6. Step 6: Final answer
    x = 3,814.35

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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.