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Finding the Fourth Proportional to 5,792.16, 7,993.36 and 3,307.68

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Solution

The fourth proportional to 5,792.16, 7,993.36 and 3,307.68 is: 4,564.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,792.16 : 7,993.36 = 3,307.68 : x
  2. Step 2: Convert to fraction form
    5,792.16/7,993.36 = 3,307.68/x
  3. Step 3: Cross multiply
    5,792.16x = 7,993.36 × 3,307.68
  4. Step 4: Simplify right side
    5,792.16x = 26,439,477.00
  5. Step 5: Solve for x
    x = 26,439,477.00/5,792.16
  6. Step 6: Final answer
    x = 4,564.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.