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Finding the Fourth Proportional to 5,570.02, 7,683.42 and 3,470.50

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Solution

The fourth proportional to 5,570.02, 7,683.42 and 3,470.50 is: 4,787.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,570.02 : 7,683.42 = 3,470.50 : x
  2. Step 2: Convert to fraction form
    5,570.02/7,683.42 = 3,470.50/x
  3. Step 3: Cross multiply
    5,570.02x = 7,683.42 × 3,470.50
  4. Step 4: Simplify right side
    5,570.02x = 26,665,309.11
  5. Step 5: Solve for x
    x = 26,665,309.11/5,570.02
  6. Step 6: Final answer
    x = 4,787.29

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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.