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Finding the Fourth Proportional to 6,740.49, 9,302.48 and 4,089.36

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Solution

The fourth proportional to 6,740.49, 9,302.48 and 4,089.36 is: 5,643.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,740.49 : 9,302.48 = 4,089.36 : x
  2. Step 2: Convert to fraction form
    6,740.49/9,302.48 = 4,089.36/x
  3. Step 3: Cross multiply
    6,740.49x = 9,302.48 × 4,089.36
  4. Step 4: Simplify right side
    6,740.49x = 38,041,189.61
  5. Step 5: Solve for x
    x = 38,041,189.61/6,740.49
  6. Step 6: Final answer
    x = 5,643.68

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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.