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Finding the Fourth Proportional to 4,143.96, 5,726.16 and 2,962.98

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Solution

The fourth proportional to 4,143.96, 5,726.16 and 2,962.98 is: 4,094.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,143.96 : 5,726.16 = 2,962.98 : x
  2. Step 2: Convert to fraction form
    4,143.96/5,726.16 = 2,962.98/x
  3. Step 3: Cross multiply
    4,143.96x = 5,726.16 × 2,962.98
  4. Step 4: Simplify right side
    4,143.96x = 16,966,497.56
  5. Step 5: Solve for x
    x = 16,966,497.56/4,143.96
  6. Step 6: Final answer
    x = 4,094.27

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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.