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Finding the Fourth Proportional to 5,262.46, 7,893.71 and 1,564.72

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Solution

The fourth proportional to 5,262.46, 7,893.71 and 1,564.72 is: 2,347.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.46 : 7,893.71 = 1,564.72 : x
  2. Step 2: Convert to fraction form
    5,262.46/7,893.71 = 1,564.72/x
  3. Step 3: Cross multiply
    5,262.46x = 7,893.71 × 1,564.72
  4. Step 4: Simplify right side
    5,262.46x = 12,351,445.91
  5. Step 5: Solve for x
    x = 12,351,445.91/5,262.46
  6. Step 6: Final answer
    x = 2,347.09

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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.