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Finding the Fourth Proportional to 5,313.32, 7,970.10 and 2,351.13

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Solution

The fourth proportional to 5,313.32, 7,970.10 and 2,351.13 is: 3,526.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313.32 : 7,970.10 = 2,351.13 : x
  2. Step 2: Convert to fraction form
    5,313.32/7,970.10 = 2,351.13/x
  3. Step 3: Cross multiply
    5,313.32x = 7,970.10 × 2,351.13
  4. Step 4: Simplify right side
    5,313.32x = 18,738,750.03
  5. Step 5: Solve for x
    x = 18,738,750.03/5,313.32
  6. Step 6: Final answer
    x = 3,526.75

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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.