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Finding the Fourth Proportional to 3,529.72, 4,870.36 and 2,287

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Solution

The fourth proportional to 3,529.72, 4,870.36 and 2,287 is: 3,155.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,529.72 : 4,870.36 = 2,287 : x
  2. Step 2: Convert to fraction form
    3,529.72/4,870.36 = 2,287/x
  3. Step 3: Cross multiply
    3,529.72x = 4,870.36 × 2,287
  4. Step 4: Simplify right side
    3,529.72x = 11,138,513.32
  5. Step 5: Solve for x
    x = 11,138,513.32/3,529.72
  6. Step 6: Final answer
    x = 3,155.64

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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.