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Finding the Fourth Proportional to 4,658.48, 6,419.67 and 4,353.92

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Solution

The fourth proportional to 4,658.48, 6,419.67 and 4,353.92 is: 5,999.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.48 : 6,419.67 = 4,353.92 : x
  2. Step 2: Convert to fraction form
    4,658.48/6,419.67 = 4,353.92/x
  3. Step 3: Cross multiply
    4,658.48x = 6,419.67 × 4,353.92
  4. Step 4: Simplify right side
    4,658.48x = 27,950,697.51
  5. Step 5: Solve for x
    x = 27,950,697.51/4,658.48
  6. Step 6: Final answer
    x = 5,999.97

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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.