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Finding the Fourth Proportional to 3,602.94, 4,972.83 and 2,275.80

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Solution

The fourth proportional to 3,602.94, 4,972.83 and 2,275.80 is: 3,141.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.94 : 4,972.83 = 2,275.80 : x
  2. Step 2: Convert to fraction form
    3,602.94/4,972.83 = 2,275.80/x
  3. Step 3: Cross multiply
    3,602.94x = 4,972.83 × 2,275.80
  4. Step 4: Simplify right side
    3,602.94x = 11,317,166.51
  5. Step 5: Solve for x
    x = 11,317,166.51/3,602.94
  6. Step 6: Final answer
    x = 3,141.09

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1.5x scale

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.