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Finding the Fourth Proportional to 5,718.14, 8,574.47 and 2,429.44

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Solution

The fourth proportional to 5,718.14, 8,574.47 and 2,429.44 is: 3,642.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718.14 : 8,574.47 = 2,429.44 : x
  2. Step 2: Convert to fraction form
    5,718.14/8,574.47 = 2,429.44/x
  3. Step 3: Cross multiply
    5,718.14x = 8,574.47 × 2,429.44
  4. Step 4: Simplify right side
    5,718.14x = 20,831,126.81
  5. Step 5: Solve for x
    x = 20,831,126.81/5,718.14
  6. Step 6: Final answer
    x = 3,642.99

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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.