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Finding the Fourth Proportional to 5,222.52, 7,833.76 and 1,714.98

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Solution

The fourth proportional to 5,222.52, 7,833.76 and 1,714.98 is: 2,572.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.52 : 7,833.76 = 1,714.98 : x
  2. Step 2: Convert to fraction form
    5,222.52/7,833.76 = 1,714.98/x
  3. Step 3: Cross multiply
    5,222.52x = 7,833.76 × 1,714.98
  4. Step 4: Simplify right side
    5,222.52x = 13,434,741.72
  5. Step 5: Solve for x
    x = 13,434,741.72/5,222.52
  6. Step 6: Final answer
    x = 2,572.46

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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.