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Finding the Fourth Proportional to 4,574.46, 6,858 and 4,316.88

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Solution

The fourth proportional to 4,574.46, 6,858 and 4,316.88 is: 6,471.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,574.46 : 6,858 = 4,316.88 : x
  2. Step 2: Convert to fraction form
    4,574.46/6,858 = 4,316.88/x
  3. Step 3: Cross multiply
    4,574.46x = 6,858 × 4,316.88
  4. Step 4: Simplify right side
    4,574.46x = 29,605,163.04
  5. Step 5: Solve for x
    x = 29,605,163.04/4,574.46
  6. Step 6: Final answer
    x = 6,471.84

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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.