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Finding the Fourth Proportional to 3,777.86, 5,665.80 and 1,802.28

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Solution

The fourth proportional to 3,777.86, 5,665.80 and 1,802.28 is: 2,702.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.86 : 5,665.80 = 1,802.28 : x
  2. Step 2: Convert to fraction form
    3,777.86/5,665.80 = 1,802.28/x
  3. Step 3: Cross multiply
    3,777.86x = 5,665.80 × 1,802.28
  4. Step 4: Simplify right side
    3,777.86x = 10,211,358.02
  5. Step 5: Solve for x
    x = 10,211,358.02/3,777.86
  6. Step 6: Final answer
    x = 2,702.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.