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Finding the Fourth Proportional to 6,740.79, 9,301.75 and 4,089.66

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Solution

The fourth proportional to 6,740.79, 9,301.75 and 4,089.66 is: 5,643.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,740.79 : 9,301.75 = 4,089.66 : x
  2. Step 2: Convert to fraction form
    6,740.79/9,301.75 = 4,089.66/x
  3. Step 3: Cross multiply
    6,740.79x = 9,301.75 × 4,089.66
  4. Step 4: Simplify right side
    6,740.79x = 38,040,994.91
  5. Step 5: Solve for x
    x = 38,040,994.91/6,740.79
  6. Step 6: Final answer
    x = 5,643.40

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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.