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Finding the Fourth Proportional to 5,586.92, 7,710.08 and 3,069.07

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Solution

The fourth proportional to 5,586.92, 7,710.08 and 3,069.07 is: 4,235.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586.92 : 7,710.08 = 3,069.07 : x
  2. Step 2: Convert to fraction form
    5,586.92/7,710.08 = 3,069.07/x
  3. Step 3: Cross multiply
    5,586.92x = 7,710.08 × 3,069.07
  4. Step 4: Simplify right side
    5,586.92x = 23,662,740.61
  5. Step 5: Solve for x
    x = 23,662,740.61/5,586.92
  6. Step 6: Final answer
    x = 4,235.38

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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.