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Finding the Fourth Proportional to 5,895.14, 8,838.39 and 5,035.46

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Solution

The fourth proportional to 5,895.14, 8,838.39 and 5,035.46 is: 7,549.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,895.14 : 8,838.39 = 5,035.46 : x
  2. Step 2: Convert to fraction form
    5,895.14/8,838.39 = 5,035.46/x
  3. Step 3: Cross multiply
    5,895.14x = 8,838.39 × 5,035.46
  4. Step 4: Simplify right side
    5,895.14x = 44,505,359.31
  5. Step 5: Solve for x
    x = 44,505,359.31/5,895.14
  6. Step 6: Final answer
    x = 7,549.50

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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.