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Finding the Fourth Proportional to 4,297.58, 6,435.48 and 3,602.42

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Solution

The fourth proportional to 4,297.58, 6,435.48 and 3,602.42 is: 5,394.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.58 : 6,435.48 = 3,602.42 : x
  2. Step 2: Convert to fraction form
    4,297.58/6,435.48 = 3,602.42/x
  3. Step 3: Cross multiply
    4,297.58x = 6,435.48 × 3,602.42
  4. Step 4: Simplify right side
    4,297.58x = 23,183,301.86
  5. Step 5: Solve for x
    x = 23,183,301.86/4,297.58
  6. Step 6: Final answer
    x = 5,394.50

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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.