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Finding the Fourth Proportional to 4,625.34, 6,425.75 and 4,582.10

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Solution

The fourth proportional to 4,625.34, 6,425.75 and 4,582.10 is: 6,365.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,625.34 : 6,425.75 = 4,582.10 : x
  2. Step 2: Convert to fraction form
    4,625.34/6,425.75 = 4,582.10/x
  3. Step 3: Cross multiply
    4,625.34x = 6,425.75 × 4,582.10
  4. Step 4: Simplify right side
    4,625.34x = 29,443,456.59
  5. Step 5: Solve for x
    x = 29,443,456.59/4,625.34
  6. Step 6: Final answer
    x = 6,365.69

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.