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Finding the Fourth Proportional to 4,909.84, 6,775.08 and 2,785.48

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Solution

The fourth proportional to 4,909.84, 6,775.08 and 2,785.48 is: 3,843.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,909.84 : 6,775.08 = 2,785.48 : x
  2. Step 2: Convert to fraction form
    4,909.84/6,775.08 = 2,785.48/x
  3. Step 3: Cross multiply
    4,909.84x = 6,775.08 × 2,785.48
  4. Step 4: Simplify right side
    4,909.84x = 18,871,822.46
  5. Step 5: Solve for x
    x = 18,871,822.46/4,909.84
  6. Step 6: Final answer
    x = 3,843.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.