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Finding the Fourth Proportional to 5,356.74, 8,034.06 and 1,846.58

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Solution

The fourth proportional to 5,356.74, 8,034.06 and 1,846.58 is: 2,769.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,356.74 : 8,034.06 = 1,846.58 : x
  2. Step 2: Convert to fraction form
    5,356.74/8,034.06 = 1,846.58/x
  3. Step 3: Cross multiply
    5,356.74x = 8,034.06 × 1,846.58
  4. Step 4: Simplify right side
    5,356.74x = 14,835,534.51
  5. Step 5: Solve for x
    x = 14,835,534.51/5,356.74
  6. Step 6: Final answer
    x = 2,769.51

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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.