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Finding the Fourth Proportional to 5,854.76, 8,079.51 and 3,202.22

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Solution

The fourth proportional to 5,854.76, 8,079.51 and 3,202.22 is: 4,419.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,854.76 : 8,079.51 = 3,202.22 : x
  2. Step 2: Convert to fraction form
    5,854.76/8,079.51 = 3,202.22/x
  3. Step 3: Cross multiply
    5,854.76x = 8,079.51 × 3,202.22
  4. Step 4: Simplify right side
    5,854.76x = 25,872,368.51
  5. Step 5: Solve for x
    x = 25,872,368.51/5,854.76
  6. Step 6: Final answer
    x = 4,419.03

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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.