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Finding the Fourth Proportional to 5,894.47, 8,838.86 and 3,429.84

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Solution

The fourth proportional to 5,894.47, 8,838.86 and 3,429.84 is: 5,143.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.47 : 8,838.86 = 3,429.84 : x
  2. Step 2: Convert to fraction form
    5,894.47/8,838.86 = 3,429.84/x
  3. Step 3: Cross multiply
    5,894.47x = 8,838.86 × 3,429.84
  4. Step 4: Simplify right side
    5,894.47x = 30,315,875.58
  5. Step 5: Solve for x
    x = 30,315,875.58/5,894.47
  6. Step 6: Final answer
    x = 5,143.11

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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.