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Finding the Fourth Proportional to 4,457.56, 6,151.14 and 2,468

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Solution

The fourth proportional to 4,457.56, 6,151.14 and 2,468 is: 3,405.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,457.56 : 6,151.14 = 2,468 : x
  2. Step 2: Convert to fraction form
    4,457.56/6,151.14 = 2,468/x
  3. Step 3: Cross multiply
    4,457.56x = 6,151.14 × 2,468
  4. Step 4: Simplify right side
    4,457.56x = 15,181,013.52
  5. Step 5: Solve for x
    x = 15,181,013.52/4,457.56
  6. Step 6: Final answer
    x = 3,405.68

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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.