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Finding the Fourth Proportional to 5,696.48, 7,860.72 and 3,212

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Solution

The fourth proportional to 5,696.48, 7,860.72 and 3,212 is: 4,432.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.48 : 7,860.72 = 3,212 : x
  2. Step 2: Convert to fraction form
    5,696.48/7,860.72 = 3,212/x
  3. Step 3: Cross multiply
    5,696.48x = 7,860.72 × 3,212
  4. Step 4: Simplify right side
    5,696.48x = 25,248,632.64
  5. Step 5: Solve for x
    x = 25,248,632.64/5,696.48
  6. Step 6: Final answer
    x = 4,432.32

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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.