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Finding the Fourth Proportional to 4,117, 5,681.46 and 2,254

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Solution

The fourth proportional to 4,117, 5,681.46 and 2,254 is: 3,110.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,117 : 5,681.46 = 2,254 : x
  2. Step 2: Convert to fraction form
    4,117/5,681.46 = 2,254/x
  3. Step 3: Cross multiply
    4,117x = 5,681.46 × 2,254
  4. Step 4: Simplify right side
    4,117x = 12,806,010.84
  5. Step 5: Solve for x
    x = 12,806,010.84/4,117
  6. Step 6: Final answer
    x = 3,110.52

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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.