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Finding the Fourth Proportional to 4,295.44, 5,923.02 and 3,117.16

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Solution

The fourth proportional to 4,295.44, 5,923.02 and 3,117.16 is: 4,298.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,295.44 : 5,923.02 = 3,117.16 : x
  2. Step 2: Convert to fraction form
    4,295.44/5,923.02 = 3,117.16/x
  3. Step 3: Cross multiply
    4,295.44x = 5,923.02 × 3,117.16
  4. Step 4: Simplify right side
    4,295.44x = 18,463,001.02
  5. Step 5: Solve for x
    x = 18,463,001.02/4,295.44
  6. Step 6: Final answer
    x = 4,298.28

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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.