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Finding the Fourth Proportional to 5,746.16, 7,930.51 and 3,356.92

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Solution

The fourth proportional to 5,746.16, 7,930.51 and 3,356.92 is: 4,633.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,746.16 : 7,930.51 = 3,356.92 : x
  2. Step 2: Convert to fraction form
    5,746.16/7,930.51 = 3,356.92/x
  3. Step 3: Cross multiply
    5,746.16x = 7,930.51 × 3,356.92
  4. Step 4: Simplify right side
    5,746.16x = 26,622,087.63
  5. Step 5: Solve for x
    x = 26,622,087.63/5,746.16
  6. Step 6: Final answer
    x = 4,633.02

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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.