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Finding the Fourth Proportional to 4,578.41, 6,867.62 and 1,656.03

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Solution

The fourth proportional to 4,578.41, 6,867.62 and 1,656.03 is: 2,484.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578.41 : 6,867.62 = 1,656.03 : x
  2. Step 2: Convert to fraction form
    4,578.41/6,867.62 = 1,656.03/x
  3. Step 3: Cross multiply
    4,578.41x = 6,867.62 × 1,656.03
  4. Step 4: Simplify right side
    4,578.41x = 11,373,008.43
  5. Step 5: Solve for x
    x = 11,373,008.43/4,578.41
  6. Step 6: Final answer
    x = 2,484.05

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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.