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Finding the Fourth Proportional to 4,670.99, 6,985.82 and 4,154.61

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Solution

The fourth proportional to 4,670.99, 6,985.82 and 4,154.61 is: 6,213.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.99 : 6,985.82 = 4,154.61 : x
  2. Step 2: Convert to fraction form
    4,670.99/6,985.82 = 4,154.61/x
  3. Step 3: Cross multiply
    4,670.99x = 6,985.82 × 4,154.61
  4. Step 4: Simplify right side
    4,670.99x = 29,023,357.63
  5. Step 5: Solve for x
    x = 29,023,357.63/4,670.99
  6. Step 6: Final answer
    x = 6,213.53

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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.