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Finding the Fourth Proportional to 6,222.52, 8,587.04 and 3,428

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Solution

The fourth proportional to 6,222.52, 8,587.04 and 3,428 is: 4,730.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,222.52 : 8,587.04 = 3,428 : x
  2. Step 2: Convert to fraction form
    6,222.52/8,587.04 = 3,428/x
  3. Step 3: Cross multiply
    6,222.52x = 8,587.04 × 3,428
  4. Step 4: Simplify right side
    6,222.52x = 29,436,373.12
  5. Step 5: Solve for x
    x = 29,436,373.12/6,222.52
  6. Step 6: Final answer
    x = 4,730.62

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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.