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Finding the Fourth Proportional to 5,357.44, 8,036.07 and 1,461.83

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Solution

The fourth proportional to 5,357.44, 8,036.07 and 1,461.83 is: 2,192.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,357.44 : 8,036.07 = 1,461.83 : x
  2. Step 2: Convert to fraction form
    5,357.44/8,036.07 = 1,461.83/x
  3. Step 3: Cross multiply
    5,357.44x = 8,036.07 × 1,461.83
  4. Step 4: Simplify right side
    5,357.44x = 11,747,368.21
  5. Step 5: Solve for x
    x = 11,747,368.21/5,357.44
  6. Step 6: Final answer
    x = 2,192.72

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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.