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Finding the Fourth Proportional to 6,475.12, 8,935.08 and 3,680.08

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Solution

The fourth proportional to 6,475.12, 8,935.08 and 3,680.08 is: 5,078.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.12 : 8,935.08 = 3,680.08 : x
  2. Step 2: Convert to fraction form
    6,475.12/8,935.08 = 3,680.08/x
  3. Step 3: Cross multiply
    6,475.12x = 8,935.08 × 3,680.08
  4. Step 4: Simplify right side
    6,475.12x = 32,881,809.21
  5. Step 5: Solve for x
    x = 32,881,809.21/6,475.12
  6. Step 6: Final answer
    x = 5,078.18

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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.