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Finding the Fourth Proportional to 4,133.16, 5,702.08 and 2,364.36

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Solution

The fourth proportional to 4,133.16, 5,702.08 and 2,364.36 is: 3,261.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,133.16 : 5,702.08 = 2,364.36 : x
  2. Step 2: Convert to fraction form
    4,133.16/5,702.08 = 2,364.36/x
  3. Step 3: Cross multiply
    4,133.16x = 5,702.08 × 2,364.36
  4. Step 4: Simplify right side
    4,133.16x = 13,481,769.87
  5. Step 5: Solve for x
    x = 13,481,769.87/4,133.16
  6. Step 6: Final answer
    x = 3,261.86

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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.