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Finding the Fourth Proportional to 4,652.49, 6,401.68 and 4,541.78

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Solution

The fourth proportional to 4,652.49, 6,401.68 and 4,541.78 is: 6,249.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.49 : 6,401.68 = 4,541.78 : x
  2. Step 2: Convert to fraction form
    4,652.49/6,401.68 = 4,541.78/x
  3. Step 3: Cross multiply
    4,652.49x = 6,401.68 × 4,541.78
  4. Step 4: Simplify right side
    4,652.49x = 29,074,967.47
  5. Step 5: Solve for x
    x = 29,074,967.47/4,652.49
  6. Step 6: Final answer
    x = 6,249.33

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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.