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Finding the Fourth Proportional to 5,946.66, 8,921.40 and 2,051.10

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Solution

The fourth proportional to 5,946.66, 8,921.40 and 2,051.10 is: 3,077.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,946.66 : 8,921.40 = 2,051.10 : x
  2. Step 2: Convert to fraction form
    5,946.66/8,921.40 = 2,051.10/x
  3. Step 3: Cross multiply
    5,946.66x = 8,921.40 × 2,051.10
  4. Step 4: Simplify right side
    5,946.66x = 18,298,683.54
  5. Step 5: Solve for x
    x = 18,298,683.54/5,946.66
  6. Step 6: Final answer
    x = 3,077.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.