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Finding the Fourth Proportional to 4,618.84, 6,374.10 and 2,523.10

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Solution

The fourth proportional to 4,618.84, 6,374.10 and 2,523.10 is: 3,481.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,618.84 : 6,374.10 = 2,523.10 : x
  2. Step 2: Convert to fraction form
    4,618.84/6,374.10 = 2,523.10/x
  3. Step 3: Cross multiply
    4,618.84x = 6,374.10 × 2,523.10
  4. Step 4: Simplify right side
    4,618.84x = 16,082,491.71
  5. Step 5: Solve for x
    x = 16,082,491.71/4,618.84
  6. Step 6: Final answer
    x = 3,481.93

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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.