Home / 4,117.68-5,682.28-2,254.64

Finding the Fourth Proportional to 4,117.68, 5,682.28 and 2,254.64

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Solution

The fourth proportional to 4,117.68, 5,682.28 and 2,254.64 is: 3,111.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,117.68 : 5,682.28 = 2,254.64 : x
  2. Step 2: Convert to fraction form
    4,117.68/5,682.28 = 2,254.64/x
  3. Step 3: Cross multiply
    4,117.68x = 5,682.28 × 2,254.64
  4. Step 4: Simplify right side
    4,117.68x = 12,811,495.78
  5. Step 5: Solve for x
    x = 12,811,495.78/4,117.68
  6. Step 6: Final answer
    x = 3,111.34

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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.