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Finding the Fourth Proportional to 5,223.37, 7,835.09 and 1,528.18

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Solution

The fourth proportional to 5,223.37, 7,835.09 and 1,528.18 is: 2,292.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.37 : 7,835.09 = 1,528.18 : x
  2. Step 2: Convert to fraction form
    5,223.37/7,835.09 = 1,528.18/x
  3. Step 3: Cross multiply
    5,223.37x = 7,835.09 × 1,528.18
  4. Step 4: Simplify right side
    5,223.37x = 11,973,427.84
  5. Step 5: Solve for x
    x = 11,973,427.84/5,223.37
  6. Step 6: Final answer
    x = 2,292.28

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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.