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Finding the Fourth Proportional to 4,967.99, 6,855.93 and 2,730

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Solution

The fourth proportional to 4,967.99, 6,855.93 and 2,730 is: 3,767.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.99 : 6,855.93 = 2,730 : x
  2. Step 2: Convert to fraction form
    4,967.99/6,855.93 = 2,730/x
  3. Step 3: Cross multiply
    4,967.99x = 6,855.93 × 2,730
  4. Step 4: Simplify right side
    4,967.99x = 18,716,688.90
  5. Step 5: Solve for x
    x = 18,716,688.90/4,967.99
  6. Step 6: Final answer
    x = 3,767.46

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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.