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Finding the Fourth Proportional to 3,178.68, 4,386.06 and 2,923.80

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Solution

The fourth proportional to 3,178.68, 4,386.06 and 2,923.80 is: 4,034.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.68 : 4,386.06 = 2,923.80 : x
  2. Step 2: Convert to fraction form
    3,178.68/4,386.06 = 2,923.80/x
  3. Step 3: Cross multiply
    3,178.68x = 4,386.06 × 2,923.80
  4. Step 4: Simplify right side
    3,178.68x = 12,823,962.23
  5. Step 5: Solve for x
    x = 12,823,962.23/3,178.68
  6. Step 6: Final answer
    x = 4,034.37

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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.