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Finding the Fourth Proportional to 4,952.70, 7,430.11 and 1,664.91

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Solution

The fourth proportional to 4,952.70, 7,430.11 and 1,664.91 is: 2,497.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.70 : 7,430.11 = 1,664.91 : x
  2. Step 2: Convert to fraction form
    4,952.70/7,430.11 = 1,664.91/x
  3. Step 3: Cross multiply
    4,952.70x = 7,430.11 × 1,664.91
  4. Step 4: Simplify right side
    4,952.70x = 12,370,460.28
  5. Step 5: Solve for x
    x = 12,370,460.28/4,952.70
  6. Step 6: Final answer
    x = 2,497.72

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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.