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Finding the Fourth Proportional to 5,188.91, 7,746.42 and 5,006.66

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Solution

The fourth proportional to 5,188.91, 7,746.42 and 5,006.66 is: 7,474.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,188.91 : 7,746.42 = 5,006.66 : x
  2. Step 2: Convert to fraction form
    5,188.91/7,746.42 = 5,006.66/x
  3. Step 3: Cross multiply
    5,188.91x = 7,746.42 × 5,006.66
  4. Step 4: Simplify right side
    5,188.91x = 38,783,666.12
  5. Step 5: Solve for x
    x = 38,783,666.12/5,188.91
  6. Step 6: Final answer
    x = 7,474.34

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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.