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Finding the Fourth Proportional to 5,262.57, 7,262.46 and 2,904.86

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Solution

The fourth proportional to 5,262.57, 7,262.46 and 2,904.86 is: 4,008.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,262.57 : 7,262.46 = 2,904.86 : x
  2. Step 2: Convert to fraction form
    5,262.57/7,262.46 = 2,904.86/x
  3. Step 3: Cross multiply
    5,262.57x = 7,262.46 × 2,904.86
  4. Step 4: Simplify right side
    5,262.57x = 21,096,447.71
  5. Step 5: Solve for x
    x = 21,096,447.71/5,262.57
  6. Step 6: Final answer
    x = 4,008.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.