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Finding the Fourth Proportional to 5,608.42, 8,412.64 and 5,600.32

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Solution

The fourth proportional to 5,608.42, 8,412.64 and 5,600.32 is: 8,400.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,608.42 : 8,412.64 = 5,600.32 : x
  2. Step 2: Convert to fraction form
    5,608.42/8,412.64 = 5,600.32/x
  3. Step 3: Cross multiply
    5,608.42x = 8,412.64 × 5,600.32
  4. Step 4: Simplify right side
    5,608.42x = 47,113,476.04
  5. Step 5: Solve for x
    x = 47,113,476.04/5,608.42
  6. Step 6: Final answer
    x = 8,400.49

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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.