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Finding the Fourth Proportional to 5,430.93, 7,494.22 and 3,192.90

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Solution

The fourth proportional to 5,430.93, 7,494.22 and 3,192.90 is: 4,405.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,430.93 : 7,494.22 = 3,192.90 : x
  2. Step 2: Convert to fraction form
    5,430.93/7,494.22 = 3,192.90/x
  3. Step 3: Cross multiply
    5,430.93x = 7,494.22 × 3,192.90
  4. Step 4: Simplify right side
    5,430.93x = 23,928,295.04
  5. Step 5: Solve for x
    x = 23,928,295.04/5,430.93
  6. Step 6: Final answer
    x = 4,405.93

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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.