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Finding the Fourth Proportional to 5,838.57, 8,764.79 and 4,606.87

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Solution

The fourth proportional to 5,838.57, 8,764.79 and 4,606.87 is: 6,915.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838.57 : 8,764.79 = 4,606.87 : x
  2. Step 2: Convert to fraction form
    5,838.57/8,764.79 = 4,606.87/x
  3. Step 3: Cross multiply
    5,838.57x = 8,764.79 × 4,606.87
  4. Step 4: Simplify right side
    5,838.57x = 40,378,210.04
  5. Step 5: Solve for x
    x = 40,378,210.04/5,838.57
  6. Step 6: Final answer
    x = 6,915.77

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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.