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Finding the Fourth Proportional to 4,948.72, 7,422.36 and 1,870

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Solution

The fourth proportional to 4,948.72, 7,422.36 and 1,870 is: 2,804.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948.72 : 7,422.36 = 1,870 : x
  2. Step 2: Convert to fraction form
    4,948.72/7,422.36 = 1,870/x
  3. Step 3: Cross multiply
    4,948.72x = 7,422.36 × 1,870
  4. Step 4: Simplify right side
    4,948.72x = 13,879,813.20
  5. Step 5: Solve for x
    x = 13,879,813.20/4,948.72
  6. Step 6: Final answer
    x = 2,804.73

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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.