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Finding the Fourth Proportional to 4,294.70, 5,922 and 3,730.18

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Solution

The fourth proportional to 4,294.70, 5,922 and 3,730.18 is: 5,143.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.70 : 5,922 = 3,730.18 : x
  2. Step 2: Convert to fraction form
    4,294.70/5,922 = 3,730.18/x
  3. Step 3: Cross multiply
    4,294.70x = 5,922 × 3,730.18
  4. Step 4: Simplify right side
    4,294.70x = 22,090,096.35
  5. Step 5: Solve for x
    x = 22,090,096.35/4,294.70
  6. Step 6: Final answer
    x = 5,143.57

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1.5x scale

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.