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Finding the Fourth Proportional to 5,190.94, 7,746.23 and 4,637.17

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Solution

The fourth proportional to 5,190.94, 7,746.23 and 4,637.17 is: 6,919.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.94 : 7,746.23 = 4,637.17 : x
  2. Step 2: Convert to fraction form
    5,190.94/7,746.23 = 4,637.17/x
  3. Step 3: Cross multiply
    5,190.94x = 7,746.23 × 4,637.17
  4. Step 4: Simplify right side
    5,190.94x = 35,920,585.37
  5. Step 5: Solve for x
    x = 35,920,585.37/5,190.94
  6. Step 6: Final answer
    x = 6,919.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.