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Finding the Fourth Proportional to 5,876.08, 8,106.42 and 3,752.26

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Solution

The fourth proportional to 5,876.08, 8,106.42 and 3,752.26 is: 5,176.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.08 : 8,106.42 = 3,752.26 : x
  2. Step 2: Convert to fraction form
    5,876.08/8,106.42 = 3,752.26/x
  3. Step 3: Cross multiply
    5,876.08x = 8,106.42 × 3,752.26
  4. Step 4: Simplify right side
    5,876.08x = 30,417,395.51
  5. Step 5: Solve for x
    x = 30,417,395.51/5,876.08
  6. Step 6: Final answer
    x = 5,176.48

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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.