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Finding the Fourth Proportional to 5,262.62, 7,895.42 and 1,564.92

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Solution

The fourth proportional to 5,262.62, 7,895.42 and 1,564.92 is: 2,347.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.62 : 7,895.42 = 1,564.92 : x
  2. Step 2: Convert to fraction form
    5,262.62/7,895.42 = 1,564.92/x
  3. Step 3: Cross multiply
    5,262.62x = 7,895.42 × 1,564.92
  4. Step 4: Simplify right side
    5,262.62x = 12,355,707.51
  5. Step 5: Solve for x
    x = 12,355,707.51/5,262.62
  6. Step 6: Final answer
    x = 2,347.82

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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.