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Finding the Fourth Proportional to 3,228.80, 4,843.70 and 1,585.47

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Solution

The fourth proportional to 3,228.80, 4,843.70 and 1,585.47 is: 2,378.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,228.80 : 4,843.70 = 1,585.47 : x
  2. Step 2: Convert to fraction form
    3,228.80/4,843.70 = 1,585.47/x
  3. Step 3: Cross multiply
    3,228.80x = 4,843.70 × 1,585.47
  4. Step 4: Simplify right side
    3,228.80x = 7,679,533.11
  5. Step 5: Solve for x
    x = 7,679,533.11/3,228.80
  6. Step 6: Final answer
    x = 2,378.45

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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.