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Finding the Fourth Proportional to 4,655.22, 6,983.54 and 2,898.80

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Solution

The fourth proportional to 4,655.22, 6,983.54 and 2,898.80 is: 4,348.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,655.22 : 6,983.54 = 2,898.80 : x
  2. Step 2: Convert to fraction form
    4,655.22/6,983.54 = 2,898.80/x
  3. Step 3: Cross multiply
    4,655.22x = 6,983.54 × 2,898.80
  4. Step 4: Simplify right side
    4,655.22x = 20,243,885.75
  5. Step 5: Solve for x
    x = 20,243,885.75/4,655.22
  6. Step 6: Final answer
    x = 4,348.64

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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.