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Finding the Fourth Proportional to 5,216.57, 7,824.85 and 1,756.25

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Solution

The fourth proportional to 5,216.57, 7,824.85 and 1,756.25 is: 2,634.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,216.57 : 7,824.85 = 1,756.25 : x
  2. Step 2: Convert to fraction form
    5,216.57/7,824.85 = 1,756.25/x
  3. Step 3: Cross multiply
    5,216.57x = 7,824.85 × 1,756.25
  4. Step 4: Simplify right side
    5,216.57x = 13,742,392.81
  5. Step 5: Solve for x
    x = 13,742,392.81/5,216.57
  6. Step 6: Final answer
    x = 2,634.37

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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.