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Finding the Fourth Proportional to 4,252.99, 6,379.47 and 2,317.50

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Solution

The fourth proportional to 4,252.99, 6,379.47 and 2,317.50 is: 3,476.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,252.99 : 6,379.47 = 2,317.50 : x
  2. Step 2: Convert to fraction form
    4,252.99/6,379.47 = 2,317.50/x
  3. Step 3: Cross multiply
    4,252.99x = 6,379.47 × 2,317.50
  4. Step 4: Simplify right side
    4,252.99x = 14,784,421.73
  5. Step 5: Solve for x
    x = 14,784,421.73/4,252.99
  6. Step 6: Final answer
    x = 3,476.24

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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.