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Finding the Fourth Proportional to 5,356.31, 8,034.22 and 1,460.71

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Solution

The fourth proportional to 5,356.31, 8,034.22 and 1,460.71 is: 2,191.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,356.31 : 8,034.22 = 1,460.71 : x
  2. Step 2: Convert to fraction form
    5,356.31/8,034.22 = 1,460.71/x
  3. Step 3: Cross multiply
    5,356.31x = 8,034.22 × 1,460.71
  4. Step 4: Simplify right side
    5,356.31x = 11,735,641.76
  5. Step 5: Solve for x
    x = 11,735,641.76/5,356.31
  6. Step 6: Final answer
    x = 2,191.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.