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Finding the Fourth Proportional to 5,985.97, 8,953.94 and 4,206.90

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Solution

The fourth proportional to 5,985.97, 8,953.94 and 4,206.90 is: 6,292.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,985.97 : 8,953.94 = 4,206.90 : x
  2. Step 2: Convert to fraction form
    5,985.97/8,953.94 = 4,206.90/x
  3. Step 3: Cross multiply
    5,985.97x = 8,953.94 × 4,206.90
  4. Step 4: Simplify right side
    5,985.97x = 37,668,330.19
  5. Step 5: Solve for x
    x = 37,668,330.19/5,985.97
  6. Step 6: Final answer
    x = 6,292.77

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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.