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Finding the Fourth Proportional to 3,792.36, 5,686.16 and 1,158.99

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Solution

The fourth proportional to 3,792.36, 5,686.16 and 1,158.99 is: 1,737.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,792.36 : 5,686.16 = 1,158.99 : x
  2. Step 2: Convert to fraction form
    3,792.36/5,686.16 = 1,158.99/x
  3. Step 3: Cross multiply
    3,792.36x = 5,686.16 × 1,158.99
  4. Step 4: Simplify right side
    3,792.36x = 6,590,199.60
  5. Step 5: Solve for x
    x = 6,590,199.60/3,792.36
  6. Step 6: Final answer
    x = 1,737.76

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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.