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Finding the Fourth Proportional to 4,810.34, 7,214.88 and 1,523.46

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Solution

The fourth proportional to 4,810.34, 7,214.88 and 1,523.46 is: 2,284.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,810.34 : 7,214.88 = 1,523.46 : x
  2. Step 2: Convert to fraction form
    4,810.34/7,214.88 = 1,523.46/x
  3. Step 3: Cross multiply
    4,810.34x = 7,214.88 × 1,523.46
  4. Step 4: Simplify right side
    4,810.34x = 10,991,581.08
  5. Step 5: Solve for x
    x = 10,991,581.08/4,810.34
  6. Step 6: Final answer
    x = 2,284.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.