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Finding the Fourth Proportional to 4,709.86, 6,502.62 and 3,031.99

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Solution

The fourth proportional to 4,709.86, 6,502.62 and 3,031.99 is: 4,186.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.86 : 6,502.62 = 3,031.99 : x
  2. Step 2: Convert to fraction form
    4,709.86/6,502.62 = 3,031.99/x
  3. Step 3: Cross multiply
    4,709.86x = 6,502.62 × 3,031.99
  4. Step 4: Simplify right side
    4,709.86x = 19,715,878.81
  5. Step 5: Solve for x
    x = 19,715,878.81/4,709.86
  6. Step 6: Final answer
    x = 4,186.09

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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.