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Finding the Fourth Proportional to 4,768, 6,580.08 and 2,672.16

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Solution

The fourth proportional to 4,768, 6,580.08 and 2,672.16 is: 3,687.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768 : 6,580.08 = 2,672.16 : x
  2. Step 2: Convert to fraction form
    4,768/6,580.08 = 2,672.16/x
  3. Step 3: Cross multiply
    4,768x = 6,580.08 × 2,672.16
  4. Step 4: Simplify right side
    4,768x = 17,583,026.57
  5. Step 5: Solve for x
    x = 17,583,026.57/4,768
  6. Step 6: Final answer
    x = 3,687.72

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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.