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Finding the Fourth Proportional to 5,985.99, 8,245.23 and 4,214.52

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Solution

The fourth proportional to 5,985.99, 8,245.23 and 4,214.52 is: 5,805.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,985.99 : 8,245.23 = 4,214.52 : x
  2. Step 2: Convert to fraction form
    5,985.99/8,245.23 = 4,214.52/x
  3. Step 3: Cross multiply
    5,985.99x = 8,245.23 × 4,214.52
  4. Step 4: Simplify right side
    5,985.99x = 34,749,686.74
  5. Step 5: Solve for x
    x = 34,749,686.74/5,985.99
  6. Step 6: Final answer
    x = 5,805.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.