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Finding the Fourth Proportional to 5,668.32, 7,822.08 and 3,312

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Solution

The fourth proportional to 5,668.32, 7,822.08 and 3,312 is: 4,570.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,668.32 : 7,822.08 = 3,312 : x
  2. Step 2: Convert to fraction form
    5,668.32/7,822.08 = 3,312/x
  3. Step 3: Cross multiply
    5,668.32x = 7,822.08 × 3,312
  4. Step 4: Simplify right side
    5,668.32x = 25,906,728.96
  5. Step 5: Solve for x
    x = 25,906,728.96/5,668.32
  6. Step 6: Final answer
    x = 4,570.44

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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.