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Finding the Fourth Proportional to 4,658.75, 6,428.79 and 2,534.26

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Solution

The fourth proportional to 4,658.75, 6,428.79 and 2,534.26 is: 3,497.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,658.75 : 6,428.79 = 2,534.26 : x
  2. Step 2: Convert to fraction form
    4,658.75/6,428.79 = 2,534.26/x
  3. Step 3: Cross multiply
    4,658.75x = 6,428.79 × 2,534.26
  4. Step 4: Simplify right side
    4,658.75x = 16,292,212.67
  5. Step 5: Solve for x
    x = 16,292,212.67/4,658.75
  6. Step 6: Final answer
    x = 3,497.12

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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.