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Finding the Fourth Proportional to 4,773.69, 6,586.34 and 3,095.17

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Solution

The fourth proportional to 4,773.69, 6,586.34 and 3,095.17 is: 4,270.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,773.69 : 6,586.34 = 3,095.17 : x
  2. Step 2: Convert to fraction form
    4,773.69/6,586.34 = 3,095.17/x
  3. Step 3: Cross multiply
    4,773.69x = 6,586.34 × 3,095.17
  4. Step 4: Simplify right side
    4,773.69x = 20,385,833.25
  5. Step 5: Solve for x
    x = 20,385,833.25/4,773.69
  6. Step 6: Final answer
    x = 4,270.46

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