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Finding the Fourth Proportional to 3,433.66, 5,146.08 and 1,558.18

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Solution

The fourth proportional to 3,433.66, 5,146.08 and 1,558.18 is: 2,335.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.66 : 5,146.08 = 1,558.18 : x
  2. Step 2: Convert to fraction form
    3,433.66/5,146.08 = 1,558.18/x
  3. Step 3: Cross multiply
    3,433.66x = 5,146.08 × 1,558.18
  4. Step 4: Simplify right side
    3,433.66x = 8,018,518.93
  5. Step 5: Solve for x
    x = 8,018,518.93/3,433.66
  6. Step 6: Final answer
    x = 2,335.27

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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.