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Finding the Fourth Proportional to 5,647.06, 7,792.32 and 3,129.10

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Solution

The fourth proportional to 5,647.06, 7,792.32 and 3,129.10 is: 4,317.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.06 : 7,792.32 = 3,129.10 : x
  2. Step 2: Convert to fraction form
    5,647.06/7,792.32 = 3,129.10/x
  3. Step 3: Cross multiply
    5,647.06x = 7,792.32 × 3,129.10
  4. Step 4: Simplify right side
    5,647.06x = 24,382,948.51
  5. Step 5: Solve for x
    x = 24,382,948.51/5,647.06
  6. Step 6: Final answer
    x = 4,317.81

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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.