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Finding the Fourth Proportional to 6,054.64, 9,082.05 and 1,894.48

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Solution

The fourth proportional to 6,054.64, 9,082.05 and 1,894.48 is: 2,841.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,054.64 : 9,082.05 = 1,894.48 : x
  2. Step 2: Convert to fraction form
    6,054.64/9,082.05 = 1,894.48/x
  3. Step 3: Cross multiply
    6,054.64x = 9,082.05 × 1,894.48
  4. Step 4: Simplify right side
    6,054.64x = 17,205,762.08
  5. Step 5: Solve for x
    x = 17,205,762.08/6,054.64
  6. Step 6: Final answer
    x = 2,841.75

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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.