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Finding the Fourth Proportional to 5,209.92, 7,184.70 and 4,828.14

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Solution

The fourth proportional to 5,209.92, 7,184.70 and 4,828.14 is: 6,658.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,209.92 : 7,184.70 = 4,828.14 : x
  2. Step 2: Convert to fraction form
    5,209.92/7,184.70 = 4,828.14/x
  3. Step 3: Cross multiply
    5,209.92x = 7,184.70 × 4,828.14
  4. Step 4: Simplify right side
    5,209.92x = 34,688,737.46
  5. Step 5: Solve for x
    x = 34,688,737.46/5,209.92
  6. Step 6: Final answer
    x = 6,658.21

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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.