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Finding the Fourth Proportional to 4,415.76, 6,093.54 and 2,426.40

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Solution

The fourth proportional to 4,415.76, 6,093.54 and 2,426.40 is: 3,348.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,415.76 : 6,093.54 = 2,426.40 : x
  2. Step 2: Convert to fraction form
    4,415.76/6,093.54 = 2,426.40/x
  3. Step 3: Cross multiply
    4,415.76x = 6,093.54 × 2,426.40
  4. Step 4: Simplify right side
    4,415.76x = 14,785,365.46
  5. Step 5: Solve for x
    x = 14,785,365.46/4,415.76
  6. Step 6: Final answer
    x = 3,348.32

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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.