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Finding the Fourth Proportional to 4,809.70, 7,215.48 and 1,847.92

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Solution

The fourth proportional to 4,809.70, 7,215.48 and 1,847.92 is: 2,772.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.70 : 7,215.48 = 1,847.92 : x
  2. Step 2: Convert to fraction form
    4,809.70/7,215.48 = 1,847.92/x
  3. Step 3: Cross multiply
    4,809.70x = 7,215.48 × 1,847.92
  4. Step 4: Simplify right side
    4,809.70x = 13,333,643.22
  5. Step 5: Solve for x
    x = 13,333,643.22/4,809.70
  6. Step 6: Final answer
    x = 2,772.24

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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.