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Finding the Fourth Proportional to 3,656.95, 5,046.50 and 2,084.95

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Solution

The fourth proportional to 3,656.95, 5,046.50 and 2,084.95 is: 2,877.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.95 : 5,046.50 = 2,084.95 : x
  2. Step 2: Convert to fraction form
    3,656.95/5,046.50 = 2,084.95/x
  3. Step 3: Cross multiply
    3,656.95x = 5,046.50 × 2,084.95
  4. Step 4: Simplify right side
    3,656.95x = 10,521,664.52
  5. Step 5: Solve for x
    x = 10,521,664.52/3,656.95
  6. Step 6: Final answer
    x = 2,877.17

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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.