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Finding the Fourth Proportional to 4,575.42, 6,858 and 3,258.90

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Solution

The fourth proportional to 4,575.42, 6,858 and 3,258.90 is: 4,884.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,575.42 : 6,858 = 3,258.90 : x
  2. Step 2: Convert to fraction form
    4,575.42/6,858 = 3,258.90/x
  3. Step 3: Cross multiply
    4,575.42x = 6,858 × 3,258.90
  4. Step 4: Simplify right side
    4,575.42x = 22,349,536.20
  5. Step 5: Solve for x
    x = 22,349,536.20/4,575.42
  6. Step 6: Final answer
    x = 4,884.70

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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.