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Finding the Fourth Proportional to 6,054.17, 9,078.21 and 1,894.41

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Solution

The fourth proportional to 6,054.17, 9,078.21 and 1,894.41 is: 2,840.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,054.17 : 9,078.21 = 1,894.41 : x
  2. Step 2: Convert to fraction form
    6,054.17/9,078.21 = 1,894.41/x
  3. Step 3: Cross multiply
    6,054.17x = 9,078.21 × 1,894.41
  4. Step 4: Simplify right side
    6,054.17x = 17,197,851.81
  5. Step 5: Solve for x
    x = 17,197,851.81/6,054.17
  6. Step 6: Final answer
    x = 2,840.66

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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.