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Finding the Fourth Proportional to 5,518.32, 7,648.08 and 5,414.64

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Solution

The fourth proportional to 5,518.32, 7,648.08 and 5,414.64 is: 7,504.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,518.32 : 7,648.08 = 5,414.64 : x
  2. Step 2: Convert to fraction form
    5,518.32/7,648.08 = 5,414.64/x
  3. Step 3: Cross multiply
    5,518.32x = 7,648.08 × 5,414.64
  4. Step 4: Simplify right side
    5,518.32x = 41,411,599.89
  5. Step 5: Solve for x
    x = 41,411,599.89/5,518.32
  6. Step 6: Final answer
    x = 7,504.39

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.