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Finding the Fourth Proportional to 5,054.81, 7,572.98 and 3,664.70

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Solution

The fourth proportional to 5,054.81, 7,572.98 and 3,664.70 is: 5,490.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,054.81 : 7,572.98 = 3,664.70 : x
  2. Step 2: Convert to fraction form
    5,054.81/7,572.98 = 3,664.70/x
  3. Step 3: Cross multiply
    5,054.81x = 7,572.98 × 3,664.70
  4. Step 4: Simplify right side
    5,054.81x = 27,752,700.19
  5. Step 5: Solve for x
    x = 27,752,700.19/5,054.81
  6. Step 6: Final answer
    x = 5,490.35

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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.