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Finding the Fourth Proportional to 5,737.16, 8,605.74 and 4,709

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Solution

The fourth proportional to 5,737.16, 8,605.74 and 4,709 is: 7,063.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.16 : 8,605.74 = 4,709 : x
  2. Step 2: Convert to fraction form
    5,737.16/8,605.74 = 4,709/x
  3. Step 3: Cross multiply
    5,737.16x = 8,605.74 × 4,709
  4. Step 4: Simplify right side
    5,737.16x = 40,524,429.66
  5. Step 5: Solve for x
    x = 40,524,429.66/5,737.16
  6. Step 6: Final answer
    x = 7,063.50

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Why These Related Problems?

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