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Finding the Fourth Proportional to 3,417.22, 5,125.74 and 952.21

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Solution

The fourth proportional to 3,417.22, 5,125.74 and 952.21 is: 1,428.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,417.22 : 5,125.74 = 952.21 : x
  2. Step 2: Convert to fraction form
    3,417.22/5,125.74 = 952.21/x
  3. Step 3: Cross multiply
    3,417.22x = 5,125.74 × 952.21
  4. Step 4: Simplify right side
    3,417.22x = 4,880,780.89
  5. Step 5: Solve for x
    x = 4,880,780.89/3,417.22
  6. Step 6: Final answer
    x = 1,428.29

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1.5x scale

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.