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Finding the Fourth Proportional to 4,986.99, 6,875.65 and 4,087.42

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Solution

The fourth proportional to 4,986.99, 6,875.65 and 4,087.42 is: 5,635.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,986.99 : 6,875.65 = 4,087.42 : x
  2. Step 2: Convert to fraction form
    4,986.99/6,875.65 = 4,087.42/x
  3. Step 3: Cross multiply
    4,986.99x = 6,875.65 × 4,087.42
  4. Step 4: Simplify right side
    4,986.99x = 28,103,641.92
  5. Step 5: Solve for x
    x = 28,103,641.92/4,986.99
  6. Step 6: Final answer
    x = 5,635.39

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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.