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Finding the Fourth Proportional to 5,345.85, 8,020.62 and 4,737.15

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Solution

The fourth proportional to 5,345.85, 8,020.62 and 4,737.15 is: 7,107.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,345.85 : 8,020.62 = 4,737.15 : x
  2. Step 2: Convert to fraction form
    5,345.85/8,020.62 = 4,737.15/x
  3. Step 3: Cross multiply
    5,345.85x = 8,020.62 × 4,737.15
  4. Step 4: Simplify right side
    5,345.85x = 37,994,880.03
  5. Step 5: Solve for x
    x = 37,994,880.03/5,345.85
  6. Step 6: Final answer
    x = 7,107.36

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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.