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Finding the Fourth Proportional to 4,133.76, 5,702.94 and 2,641.29

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Solution

The fourth proportional to 4,133.76, 5,702.94 and 2,641.29 is: 3,643.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,133.76 : 5,702.94 = 2,641.29 : x
  2. Step 2: Convert to fraction form
    4,133.76/5,702.94 = 2,641.29/x
  3. Step 3: Cross multiply
    4,133.76x = 5,702.94 × 2,641.29
  4. Step 4: Simplify right side
    4,133.76x = 15,063,118.39
  5. Step 5: Solve for x
    x = 15,063,118.39/4,133.76
  6. Step 6: Final answer
    x = 3,643.93

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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.