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Finding the Fourth Proportional to 5,668.99, 8,502.67 and 1,508.63

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Solution

The fourth proportional to 5,668.99, 8,502.67 and 1,508.63 is: 2,262.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.99 : 8,502.67 = 1,508.63 : x
  2. Step 2: Convert to fraction form
    5,668.99/8,502.67 = 1,508.63/x
  3. Step 3: Cross multiply
    5,668.99x = 8,502.67 × 1,508.63
  4. Step 4: Simplify right side
    5,668.99x = 12,827,342.41
  5. Step 5: Solve for x
    x = 12,827,342.41/5,668.99
  6. Step 6: Final answer
    x = 2,262.72

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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.