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Finding the Fourth Proportional to 4,392.16, 6,590.40 and 4,249.60

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Solution

The fourth proportional to 4,392.16, 6,590.40 and 4,249.60 is: 6,376.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,392.16 : 6,590.40 = 4,249.60 : x
  2. Step 2: Convert to fraction form
    4,392.16/6,590.40 = 4,249.60/x
  3. Step 3: Cross multiply
    4,392.16x = 6,590.40 × 4,249.60
  4. Step 4: Simplify right side
    4,392.16x = 28,006,563.84
  5. Step 5: Solve for x
    x = 28,006,563.84/4,392.16
  6. Step 6: Final answer
    x = 6,376.49

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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.