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Finding the Fourth Proportional to 3,927.06, 5,417.10 and 3,374.82

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Solution

The fourth proportional to 3,927.06, 5,417.10 and 3,374.82 is: 4,655.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.06 : 5,417.10 = 3,374.82 : x
  2. Step 2: Convert to fraction form
    3,927.06/5,417.10 = 3,374.82/x
  3. Step 3: Cross multiply
    3,927.06x = 5,417.10 × 3,374.82
  4. Step 4: Simplify right side
    3,927.06x = 18,281,737.42
  5. Step 5: Solve for x
    x = 18,281,737.42/3,927.06
  6. Step 6: Final answer
    x = 4,655.32

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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.