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Finding the Fourth Proportional to 3,415.98, 4,713.63 and 2,156.55

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Solution

The fourth proportional to 3,415.98, 4,713.63 and 2,156.55 is: 2,975.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,415.98 : 4,713.63 = 2,156.55 : x
  2. Step 2: Convert to fraction form
    3,415.98/4,713.63 = 2,156.55/x
  3. Step 3: Cross multiply
    3,415.98x = 4,713.63 × 2,156.55
  4. Step 4: Simplify right side
    3,415.98x = 10,165,178.78
  5. Step 5: Solve for x
    x = 10,165,178.78/3,415.98
  6. Step 6: Final answer
    x = 2,975.77

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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.