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Finding the Fourth Proportional to 5,243.52, 7,870.75 and 2,323.88

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Solution

The fourth proportional to 5,243.52, 7,870.75 and 2,323.88 is: 3,488.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.52 : 7,870.75 = 2,323.88 : x
  2. Step 2: Convert to fraction form
    5,243.52/7,870.75 = 2,323.88/x
  3. Step 3: Cross multiply
    5,243.52x = 7,870.75 × 2,323.88
  4. Step 4: Simplify right side
    5,243.52x = 18,290,678.51
  5. Step 5: Solve for x
    x = 18,290,678.51/5,243.52
  6. Step 6: Final answer
    x = 3,488.24

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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.