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Finding the Fourth Proportional to 4,657.88, 6,984.66 and 2,710.64

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Solution

The fourth proportional to 4,657.88, 6,984.66 and 2,710.64 is: 4,064.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.88 : 6,984.66 = 2,710.64 : x
  2. Step 2: Convert to fraction form
    4,657.88/6,984.66 = 2,710.64/x
  3. Step 3: Cross multiply
    4,657.88x = 6,984.66 × 2,710.64
  4. Step 4: Simplify right side
    4,657.88x = 18,932,898.78
  5. Step 5: Solve for x
    x = 18,932,898.78/4,657.88
  6. Step 6: Final answer
    x = 4,064.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.