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Finding the Fourth Proportional to 4,574.86, 6,859.19 and 1,453.93

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Solution

The fourth proportional to 4,574.86, 6,859.19 and 1,453.93 is: 2,179.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.86 : 6,859.19 = 1,453.93 : x
  2. Step 2: Convert to fraction form
    4,574.86/6,859.19 = 1,453.93/x
  3. Step 3: Cross multiply
    4,574.86x = 6,859.19 × 1,453.93
  4. Step 4: Simplify right side
    4,574.86x = 9,972,774.85
  5. Step 5: Solve for x
    x = 9,972,774.85/4,574.86
  6. Step 6: Final answer
    x = 2,179.91

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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.