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Finding the Fourth Proportional to 5,586.47, 7,709.05 and 3,347.91

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Solution

The fourth proportional to 5,586.47, 7,709.05 and 3,347.91 is: 4,619.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,586.47 : 7,709.05 = 3,347.91 : x
  2. Step 2: Convert to fraction form
    5,586.47/7,709.05 = 3,347.91/x
  3. Step 3: Cross multiply
    5,586.47x = 7,709.05 × 3,347.91
  4. Step 4: Simplify right side
    5,586.47x = 25,809,178.67
  5. Step 5: Solve for x
    x = 25,809,178.67/5,586.47
  6. Step 6: Final answer
    x = 4,619.95

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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.