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Finding the Fourth Proportional to 4,596.21, 6,349.23 and 4,098.69

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Solution

The fourth proportional to 4,596.21, 6,349.23 and 4,098.69 is: 5,661.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.21 : 6,349.23 = 4,098.69 : x
  2. Step 2: Convert to fraction form
    4,596.21/6,349.23 = 4,098.69/x
  3. Step 3: Cross multiply
    4,596.21x = 6,349.23 × 4,098.69
  4. Step 4: Simplify right side
    4,596.21x = 26,023,525.51
  5. Step 5: Solve for x
    x = 26,023,525.51/4,596.21
  6. Step 6: Final answer
    x = 5,661.95

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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.