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Finding the Fourth Proportional to 3,466.32, 5,199.48 and 1,158

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Solution

The fourth proportional to 3,466.32, 5,199.48 and 1,158 is: 1,737.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,466.32 : 5,199.48 = 1,158 : x
  2. Step 2: Convert to fraction form
    3,466.32/5,199.48 = 1,158/x
  3. Step 3: Cross multiply
    3,466.32x = 5,199.48 × 1,158
  4. Step 4: Simplify right side
    3,466.32x = 6,020,997.84
  5. Step 5: Solve for x
    x = 6,020,997.84/3,466.32
  6. Step 6: Final answer
    x = 1,737.00

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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.