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Finding the Fourth Proportional to 5,834.79, 8,744.88 and 4,597.32

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Solution

The fourth proportional to 5,834.79, 8,744.88 and 4,597.32 is: 6,890.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,834.79 : 8,744.88 = 4,597.32 : x
  2. Step 2: Convert to fraction form
    5,834.79/8,744.88 = 4,597.32/x
  3. Step 3: Cross multiply
    5,834.79x = 8,744.88 × 4,597.32
  4. Step 4: Simplify right side
    5,834.79x = 40,203,011.72
  5. Step 5: Solve for x
    x = 40,203,011.72/5,834.79
  6. Step 6: Final answer
    x = 6,890.22

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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.