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Finding the Fourth Proportional to 5,894.17, 8,133.95 and 3,241.76

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Solution

The fourth proportional to 5,894.17, 8,133.95 and 3,241.76 is: 4,473.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.17 : 8,133.95 = 3,241.76 : x
  2. Step 2: Convert to fraction form
    5,894.17/8,133.95 = 3,241.76/x
  3. Step 3: Cross multiply
    5,894.17x = 8,133.95 × 3,241.76
  4. Step 4: Simplify right side
    5,894.17x = 26,368,281.19
  5. Step 5: Solve for x
    x = 26,368,281.19/5,894.17
  6. Step 6: Final answer
    x = 4,473.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.