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Finding the Fourth Proportional to 6,114.32, 8,437.72 and 3,319.84

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Solution

The fourth proportional to 6,114.32, 8,437.72 and 3,319.84 is: 4,581.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.32 : 8,437.72 = 3,319.84 : x
  2. Step 2: Convert to fraction form
    6,114.32/8,437.72 = 3,319.84/x
  3. Step 3: Cross multiply
    6,114.32x = 8,437.72 × 3,319.84
  4. Step 4: Simplify right side
    6,114.32x = 28,011,880.36
  5. Step 5: Solve for x
    x = 28,011,880.36/6,114.32
  6. Step 6: Final answer
    x = 4,581.36

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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.