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Finding the Fourth Proportional to 5,797.84, 8,680.20 and 5,430.01

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Solution

The fourth proportional to 5,797.84, 8,680.20 and 5,430.01 is: 8,129.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.84 : 8,680.20 = 5,430.01 : x
  2. Step 2: Convert to fraction form
    5,797.84/8,680.20 = 5,430.01/x
  3. Step 3: Cross multiply
    5,797.84x = 8,680.20 × 5,430.01
  4. Step 4: Simplify right side
    5,797.84x = 47,133,572.80
  5. Step 5: Solve for x
    x = 47,133,572.80/5,797.84
  6. Step 6: Final answer
    x = 8,129.51

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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.