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Finding the Fourth Proportional to 5,568.02, 7,683.87 and 3,210.14

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Solution

The fourth proportional to 5,568.02, 7,683.87 and 3,210.14 is: 4,429.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,568.02 : 7,683.87 = 3,210.14 : x
  2. Step 2: Convert to fraction form
    5,568.02/7,683.87 = 3,210.14/x
  3. Step 3: Cross multiply
    5,568.02x = 7,683.87 × 3,210.14
  4. Step 4: Simplify right side
    5,568.02x = 24,666,298.44
  5. Step 5: Solve for x
    x = 24,666,298.44/5,568.02
  6. Step 6: Final answer
    x = 4,429.99

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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.