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Finding the Fourth Proportional to 5,718.39, 7,884.30 and 4,599.37

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Solution

The fourth proportional to 5,718.39, 7,884.30 and 4,599.37 is: 6,341.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,718.39 : 7,884.30 = 4,599.37 : x
  2. Step 2: Convert to fraction form
    5,718.39/7,884.30 = 4,599.37/x
  3. Step 3: Cross multiply
    5,718.39x = 7,884.30 × 4,599.37
  4. Step 4: Simplify right side
    5,718.39x = 36,262,812.89
  5. Step 5: Solve for x
    x = 36,262,812.89/5,718.39
  6. Step 6: Final answer
    x = 6,341.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.