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Finding the Fourth Proportional to 5,417.74, 7,474.10 and 3,178.48

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Solution

The fourth proportional to 5,417.74, 7,474.10 and 3,178.48 is: 4,384.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,417.74 : 7,474.10 = 3,178.48 : x
  2. Step 2: Convert to fraction form
    5,417.74/7,474.10 = 3,178.48/x
  3. Step 3: Cross multiply
    5,417.74x = 7,474.10 × 3,178.48
  4. Step 4: Simplify right side
    5,417.74x = 23,756,277.37
  5. Step 5: Solve for x
    x = 23,756,277.37/5,417.74
  6. Step 6: Final answer
    x = 4,384.91

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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.