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Finding the Fourth Proportional to 5,223.44, 7,835.38 and 1,525.58

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Solution

The fourth proportional to 5,223.44, 7,835.38 and 1,525.58 is: 2,288.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,223.44 : 7,835.38 = 1,525.58 : x
  2. Step 2: Convert to fraction form
    5,223.44/7,835.38 = 1,525.58/x
  3. Step 3: Cross multiply
    5,223.44x = 7,835.38 × 1,525.58
  4. Step 4: Simplify right side
    5,223.44x = 11,953,538.07
  5. Step 5: Solve for x
    x = 11,953,538.07/5,223.44
  6. Step 6: Final answer
    x = 2,288.44

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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.