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Finding the Fourth Proportional to 5,262.67, 7,895.34 and 1,564.82

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Solution

The fourth proportional to 5,262.67, 7,895.34 and 1,564.82 is: 2,347.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.67 : 7,895.34 = 1,564.82 : x
  2. Step 2: Convert to fraction form
    5,262.67/7,895.34 = 1,564.82/x
  3. Step 3: Cross multiply
    5,262.67x = 7,895.34 × 1,564.82
  4. Step 4: Simplify right side
    5,262.67x = 12,354,776.07
  5. Step 5: Solve for x
    x = 12,354,776.07/5,262.67
  6. Step 6: Final answer
    x = 2,347.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.