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Finding the Fourth Proportional to 3,417.22, 5,125.84 and 952.05

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Solution

The fourth proportional to 3,417.22, 5,125.84 and 952.05 is: 1,428.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.22 : 5,125.84 = 952.05 : x
  2. Step 2: Convert to fraction form
    3,417.22/5,125.84 = 952.05/x
  3. Step 3: Cross multiply
    3,417.22x = 5,125.84 × 952.05
  4. Step 4: Simplify right side
    3,417.22x = 4,880,055.97
  5. Step 5: Solve for x
    x = 4,880,055.97/3,417.22
  6. Step 6: Final answer
    x = 1,428.08

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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.