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Finding the Fourth Proportional to 4,065.07, 6,096.99 and 1,565.61

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Solution

The fourth proportional to 4,065.07, 6,096.99 and 1,565.61 is: 2,348.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065.07 : 6,096.99 = 1,565.61 : x
  2. Step 2: Convert to fraction form
    4,065.07/6,096.99 = 1,565.61/x
  3. Step 3: Cross multiply
    4,065.07x = 6,096.99 × 1,565.61
  4. Step 4: Simplify right side
    4,065.07x = 9,545,508.51
  5. Step 5: Solve for x
    x = 9,545,508.51/4,065.07
  6. Step 6: Final answer
    x = 2,348.18

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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.