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Finding the Fourth Proportional to 5,588.66, 7,709.63 and 3,349.72

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Solution

The fourth proportional to 5,588.66, 7,709.63 and 3,349.72 is: 4,620.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,588.66 : 7,709.63 = 3,349.72 : x
  2. Step 2: Convert to fraction form
    5,588.66/7,709.63 = 3,349.72/x
  3. Step 3: Cross multiply
    5,588.66x = 7,709.63 × 3,349.72
  4. Step 4: Simplify right side
    5,588.66x = 25,825,113.53
  5. Step 5: Solve for x
    x = 25,825,113.53/5,588.66
  6. Step 6: Final answer
    x = 4,620.98

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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.