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Finding the Fourth Proportional to 5,164.34, 7,742.20 and 2,393.00

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Solution

The fourth proportional to 5,164.34, 7,742.20 and 2,393.00 is: 3,587.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.34 : 7,742.20 = 2,393.00 : x
  2. Step 2: Convert to fraction form
    5,164.34/7,742.20 = 2,393.00/x
  3. Step 3: Cross multiply
    5,164.34x = 7,742.20 × 2,393.00
  4. Step 4: Simplify right side
    5,164.34x = 18,527,106.95
  5. Step 5: Solve for x
    x = 18,527,106.95/5,164.34
  6. Step 6: Final answer
    x = 3,587.51

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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.