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Finding the Fourth Proportional to 4,707.78, 7,027.83 and 4,366.02

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Solution

The fourth proportional to 4,707.78, 7,027.83 and 4,366.02 is: 6,517.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,707.78 : 7,027.83 = 4,366.02 : x
  2. Step 2: Convert to fraction form
    4,707.78/7,027.83 = 4,366.02/x
  3. Step 3: Cross multiply
    4,707.78x = 7,027.83 × 4,366.02
  4. Step 4: Simplify right side
    4,707.78x = 30,683,624.51
  5. Step 5: Solve for x
    x = 30,683,624.51/4,707.78
  6. Step 6: Final answer
    x = 6,517.64

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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.