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Finding the Fourth Proportional to 6,047.46, 8,346.38 and 3,530.32

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Solution

The fourth proportional to 6,047.46, 8,346.38 and 3,530.32 is: 4,872.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,047.46 : 8,346.38 = 3,530.32 : x
  2. Step 2: Convert to fraction form
    6,047.46/8,346.38 = 3,530.32/x
  3. Step 3: Cross multiply
    6,047.46x = 8,346.38 × 3,530.32
  4. Step 4: Simplify right side
    6,047.46x = 29,465,353.72
  5. Step 5: Solve for x
    x = 29,465,353.72/6,047.46
  6. Step 6: Final answer
    x = 4,872.35

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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.