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Finding the Fourth Proportional to 5,859.95, 8,784.27 and 2,160.16

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Solution

The fourth proportional to 5,859.95, 8,784.27 and 2,160.16 is: 3,238.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,859.95 : 8,784.27 = 2,160.16 : x
  2. Step 2: Convert to fraction form
    5,859.95/8,784.27 = 2,160.16/x
  3. Step 3: Cross multiply
    5,859.95x = 8,784.27 × 2,160.16
  4. Step 4: Simplify right side
    5,859.95x = 18,975,384.76
  5. Step 5: Solve for x
    x = 18,975,384.76/5,859.95
  6. Step 6: Final answer
    x = 3,238.15

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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.