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Finding the Fourth Proportional to 3,894.04, 5,841.02 and 1,585.48

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Solution

The fourth proportional to 3,894.04, 5,841.02 and 1,585.48 is: 2,378.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.04 : 5,841.02 = 1,585.48 : x
  2. Step 2: Convert to fraction form
    3,894.04/5,841.02 = 1,585.48/x
  3. Step 3: Cross multiply
    3,894.04x = 5,841.02 × 1,585.48
  4. Step 4: Simplify right side
    3,894.04x = 9,260,820.39
  5. Step 5: Solve for x
    x = 9,260,820.39/3,894.04
  6. Step 6: Final answer
    x = 2,378.20

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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.