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Finding the Fourth Proportional to 4,661.04, 6,986.34 and 2,347.68

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Solution

The fourth proportional to 4,661.04, 6,986.34 and 2,347.68 is: 3,518.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.04 : 6,986.34 = 2,347.68 : x
  2. Step 2: Convert to fraction form
    4,661.04/6,986.34 = 2,347.68/x
  3. Step 3: Cross multiply
    4,661.04x = 6,986.34 × 2,347.68
  4. Step 4: Simplify right side
    4,661.04x = 16,401,690.69
  5. Step 5: Solve for x
    x = 16,401,690.69/4,661.04
  6. Step 6: Final answer
    x = 3,518.89

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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.