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Finding the Fourth Proportional to 6,141.63, 8,475.48 and 3,489.93

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Solution

The fourth proportional to 6,141.63, 8,475.48 and 3,489.93 is: 4,816.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.63 : 8,475.48 = 3,489.93 : x
  2. Step 2: Convert to fraction form
    6,141.63/8,475.48 = 3,489.93/x
  3. Step 3: Cross multiply
    6,141.63x = 8,475.48 × 3,489.93
  4. Step 4: Simplify right side
    6,141.63x = 29,578,831.92
  5. Step 5: Solve for x
    x = 29,578,831.92/6,141.63
  6. Step 6: Final answer
    x = 4,816.12

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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.