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Finding the Fourth Proportional to 3,492.89, 5,242.07 and 1,301.74

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Solution

The fourth proportional to 3,492.89, 5,242.07 and 1,301.74 is: 1,953.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.89 : 5,242.07 = 1,301.74 : x
  2. Step 2: Convert to fraction form
    3,492.89/5,242.07 = 1,301.74/x
  3. Step 3: Cross multiply
    3,492.89x = 5,242.07 × 1,301.74
  4. Step 4: Simplify right side
    3,492.89x = 6,823,795.03
  5. Step 5: Solve for x
    x = 6,823,795.03/3,492.89
  6. Step 6: Final answer
    x = 1,953.63

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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.