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Finding the Fourth Proportional to 3,668.09, 5,502.08 and 1,476.77

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Solution

The fourth proportional to 3,668.09, 5,502.08 and 1,476.77 is: 2,215.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.09 : 5,502.08 = 1,476.77 : x
  2. Step 2: Convert to fraction form
    3,668.09/5,502.08 = 1,476.77/x
  3. Step 3: Cross multiply
    3,668.09x = 5,502.08 × 1,476.77
  4. Step 4: Simplify right side
    3,668.09x = 8,125,271.79
  5. Step 5: Solve for x
    x = 8,125,271.79/3,668.09
  6. Step 6: Final answer
    x = 2,215.12

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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.