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Finding the Fourth Proportional to 3,473.00, 4,792.77 and 2,056.77

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Solution

The fourth proportional to 3,473.00, 4,792.77 and 2,056.77 is: 2,838.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.00 : 4,792.77 = 2,056.77 : x
  2. Step 2: Convert to fraction form
    3,473.00/4,792.77 = 2,056.77/x
  3. Step 3: Cross multiply
    3,473.00x = 4,792.77 × 2,056.77
  4. Step 4: Simplify right side
    3,473.00x = 9,857,618.71
  5. Step 5: Solve for x
    x = 9,857,618.71/3,473.00
  6. Step 6: Final answer
    x = 2,838.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.