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Finding the Fourth Proportional to 5,922.30, 8,888.94 and 4,271.16

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Solution

The fourth proportional to 5,922.30, 8,888.94 and 4,271.16 is: 6,410.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,922.30 : 8,888.94 = 4,271.16 : x
  2. Step 2: Convert to fraction form
    5,922.30/8,888.94 = 4,271.16/x
  3. Step 3: Cross multiply
    5,922.30x = 8,888.94 × 4,271.16
  4. Step 4: Simplify right side
    5,922.30x = 37,966,084.97
  5. Step 5: Solve for x
    x = 37,966,084.97/5,922.30
  6. Step 6: Final answer
    x = 6,410.70

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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.