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Finding the Fourth Proportional to 5,162.34, 7,123.98 and 2,804.48

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Solution

The fourth proportional to 5,162.34, 7,123.98 and 2,804.48 is: 3,870.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.34 : 7,123.98 = 2,804.48 : x
  2. Step 2: Convert to fraction form
    5,162.34/7,123.98 = 2,804.48/x
  3. Step 3: Cross multiply
    5,162.34x = 7,123.98 × 2,804.48
  4. Step 4: Simplify right side
    5,162.34x = 19,979,059.43
  5. Step 5: Solve for x
    x = 19,979,059.43/5,162.34
  6. Step 6: Final answer
    x = 3,870.16

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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.