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Finding the Fourth Proportional to 5,216.34, 7,824.48 and 1,756.02

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Solution

The fourth proportional to 5,216.34, 7,824.48 and 1,756.02 is: 2,634.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.34 : 7,824.48 = 1,756.02 : x
  2. Step 2: Convert to fraction form
    5,216.34/7,824.48 = 1,756.02/x
  3. Step 3: Cross multiply
    5,216.34x = 7,824.48 × 1,756.02
  4. Step 4: Simplify right side
    5,216.34x = 13,739,943.37
  5. Step 5: Solve for x
    x = 13,739,943.37/5,216.34
  6. Step 6: Final answer
    x = 2,634.02

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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.