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Finding the Fourth Proportional to 3,396.02, 4,686.62 and 1,904.14

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Solution

The fourth proportional to 3,396.02, 4,686.62 and 1,904.14 is: 2,627.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,396.02 : 4,686.62 = 1,904.14 : x
  2. Step 2: Convert to fraction form
    3,396.02/4,686.62 = 1,904.14/x
  3. Step 3: Cross multiply
    3,396.02x = 4,686.62 × 1,904.14
  4. Step 4: Simplify right side
    3,396.02x = 8,923,980.61
  5. Step 5: Solve for x
    x = 8,923,980.61/3,396.02
  6. Step 6: Final answer
    x = 2,627.78

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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.