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Finding the Fourth Proportional to 5,595.76, 7,731.88 and 4,600.28

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Solution

The fourth proportional to 5,595.76, 7,731.88 and 4,600.28 is: 6,356.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,595.76 : 7,731.88 = 4,600.28 : x
  2. Step 2: Convert to fraction form
    5,595.76/7,731.88 = 4,600.28/x
  3. Step 3: Cross multiply
    5,595.76x = 7,731.88 × 4,600.28
  4. Step 4: Simplify right side
    5,595.76x = 35,568,812.93
  5. Step 5: Solve for x
    x = 35,568,812.93/5,595.76
  6. Step 6: Final answer
    x = 6,356.39

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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.