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Finding the Fourth Proportional to 3,846.04, 5,307.54 and 2,077.65

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Solution

The fourth proportional to 3,846.04, 5,307.54 and 2,077.65 is: 2,867.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.04 : 5,307.54 = 2,077.65 : x
  2. Step 2: Convert to fraction form
    3,846.04/5,307.54 = 2,077.65/x
  3. Step 3: Cross multiply
    3,846.04x = 5,307.54 × 2,077.65
  4. Step 4: Simplify right side
    3,846.04x = 11,027,178.75
  5. Step 5: Solve for x
    x = 11,027,178.75/3,846.04
  6. Step 6: Final answer
    x = 2,867.15

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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.