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Finding the Fourth Proportional to 3,602.90, 4,967.06 and 2,275.94

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Solution

The fourth proportional to 3,602.90, 4,967.06 and 2,275.94 is: 3,137.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,602.90 : 4,967.06 = 2,275.94 : x
  2. Step 2: Convert to fraction form
    3,602.90/4,967.06 = 2,275.94/x
  3. Step 3: Cross multiply
    3,602.90x = 4,967.06 × 2,275.94
  4. Step 4: Simplify right side
    3,602.90x = 11,304,730.54
  5. Step 5: Solve for x
    x = 11,304,730.54/3,602.90
  6. Step 6: Final answer
    x = 3,137.68

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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.