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Finding the Fourth Proportional to 4,362.24, 6,546.24 and 2,058.24

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Solution

The fourth proportional to 4,362.24, 6,546.24 and 2,058.24 is: 3,088.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,362.24 : 6,546.24 = 2,058.24 : x
  2. Step 2: Convert to fraction form
    4,362.24/6,546.24 = 2,058.24/x
  3. Step 3: Cross multiply
    4,362.24x = 6,546.24 × 2,058.24
  4. Step 4: Simplify right side
    4,362.24x = 13,473,733.02
  5. Step 5: Solve for x
    x = 13,473,733.02/4,362.24
  6. Step 6: Final answer
    x = 3,088.72

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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.