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Finding the Fourth Proportional to 6,141.59, 9,210.69 and 2,392.77

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Solution

The fourth proportional to 6,141.59, 9,210.69 and 2,392.77 is: 3,588.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.59 : 9,210.69 = 2,392.77 : x
  2. Step 2: Convert to fraction form
    6,141.59/9,210.69 = 2,392.77/x
  3. Step 3: Cross multiply
    6,141.59x = 9,210.69 × 2,392.77
  4. Step 4: Simplify right side
    6,141.59x = 22,039,062.71
  5. Step 5: Solve for x
    x = 22,039,062.71/6,141.59
  6. Step 6: Final answer
    x = 3,588.50

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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.