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Finding the Fourth Proportional to 3,534.66, 5,314.68 and 1,894.32

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Solution

The fourth proportional to 3,534.66, 5,314.68 and 1,894.32 is: 2,848.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,534.66 : 5,314.68 = 1,894.32 : x
  2. Step 2: Convert to fraction form
    3,534.66/5,314.68 = 1,894.32/x
  3. Step 3: Cross multiply
    3,534.66x = 5,314.68 × 1,894.32
  4. Step 4: Simplify right side
    3,534.66x = 10,067,704.62
  5. Step 5: Solve for x
    x = 10,067,704.62/3,534.66
  6. Step 6: Final answer
    x = 2,848.28

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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.