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Finding the Fourth Proportional to 3,870.35, 5,339.09 and 2,451.65

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Solution

The fourth proportional to 3,870.35, 5,339.09 and 2,451.65 is: 3,382.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,870.35 : 5,339.09 = 2,451.65 : x
  2. Step 2: Convert to fraction form
    3,870.35/5,339.09 = 2,451.65/x
  3. Step 3: Cross multiply
    3,870.35x = 5,339.09 × 2,451.65
  4. Step 4: Simplify right side
    3,870.35x = 13,089,567.74
  5. Step 5: Solve for x
    x = 13,089,567.74/3,870.35
  6. Step 6: Final answer
    x = 3,382.01

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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.