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Finding the Fourth Proportional to 4,088, 6,134.03 and 1,622.76

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Solution

The fourth proportional to 4,088, 6,134.03 and 1,622.76 is: 2,434.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,088 : 6,134.03 = 1,622.76 : x
  2. Step 2: Convert to fraction form
    4,088/6,134.03 = 1,622.76/x
  3. Step 3: Cross multiply
    4,088x = 6,134.03 × 1,622.76
  4. Step 4: Simplify right side
    4,088x = 9,954,058.52
  5. Step 5: Solve for x
    x = 9,954,058.52/4,088
  6. Step 6: Final answer
    x = 2,434.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.