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Finding the Fourth Proportional to 6,091.04, 8,405.04 and 3,438

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Solution

The fourth proportional to 6,091.04, 8,405.04 and 3,438 is: 4,744.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091.04 : 8,405.04 = 3,438 : x
  2. Step 2: Convert to fraction form
    6,091.04/8,405.04 = 3,438/x
  3. Step 3: Cross multiply
    6,091.04x = 8,405.04 × 3,438
  4. Step 4: Simplify right side
    6,091.04x = 28,896,527.52
  5. Step 5: Solve for x
    x = 28,896,527.52/6,091.04
  6. Step 6: Final answer
    x = 4,744.10

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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.