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Finding the Fourth Proportional to 6,026.25, 8,316.16 and 3,374.31

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Solution

The fourth proportional to 6,026.25, 8,316.16 and 3,374.31 is: 4,656.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,026.25 : 8,316.16 = 3,374.31 : x
  2. Step 2: Convert to fraction form
    6,026.25/8,316.16 = 3,374.31/x
  3. Step 3: Cross multiply
    6,026.25x = 8,316.16 × 3,374.31
  4. Step 4: Simplify right side
    6,026.25x = 28,061,301.85
  5. Step 5: Solve for x
    x = 28,061,301.85/6,026.25
  6. Step 6: Final answer
    x = 4,656.51

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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.