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Finding the Fourth Proportional to 5,405.70, 7,461.52 and 3,166.76

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Solution

The fourth proportional to 5,405.70, 7,461.52 and 3,166.76 is: 4,371.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.70 : 7,461.52 = 3,166.76 : x
  2. Step 2: Convert to fraction form
    5,405.70/7,461.52 = 3,166.76/x
  3. Step 3: Cross multiply
    5,405.70x = 7,461.52 × 3,166.76
  4. Step 4: Simplify right side
    5,405.70x = 23,628,853.81
  5. Step 5: Solve for x
    x = 23,628,853.81/5,405.70
  6. Step 6: Final answer
    x = 4,371.10

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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.