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Finding the Fourth Proportional to 4,663.20, 6,960.60 and 4,080

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Solution

The fourth proportional to 4,663.20, 6,960.60 and 4,080 is: 6,090.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.20 : 6,960.60 = 4,080 : x
  2. Step 2: Convert to fraction form
    4,663.20/6,960.60 = 4,080/x
  3. Step 3: Cross multiply
    4,663.20x = 6,960.60 × 4,080
  4. Step 4: Simplify right side
    4,663.20x = 28,399,248
  5. Step 5: Solve for x
    x = 28,399,248/4,663.20
  6. Step 6: Final answer
    x = 6,090.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.