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Finding the Fourth Proportional to 4,656.21, 6,985.26 and 4,191.50

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Solution

The fourth proportional to 4,656.21, 6,985.26 and 4,191.50 is: 6,288.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.21 : 6,985.26 = 4,191.50 : x
  2. Step 2: Convert to fraction form
    4,656.21/6,985.26 = 4,191.50/x
  3. Step 3: Cross multiply
    4,656.21x = 6,985.26 × 4,191.50
  4. Step 4: Simplify right side
    4,656.21x = 29,278,682.36
  5. Step 5: Solve for x
    x = 29,278,682.36/4,656.21
  6. Step 6: Final answer
    x = 6,288.09

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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.