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Finding the Fourth Proportional to 4,723.83, 7,088.49 and 4,470.48

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Solution

The fourth proportional to 4,723.83, 7,088.49 and 4,470.48 is: 6,708.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723.83 : 7,088.49 = 4,470.48 : x
  2. Step 2: Convert to fraction form
    4,723.83/7,088.49 = 4,470.48/x
  3. Step 3: Cross multiply
    4,723.83x = 7,088.49 × 4,470.48
  4. Step 4: Simplify right side
    4,723.83x = 31,688,952.78
  5. Step 5: Solve for x
    x = 31,688,952.78/4,723.83
  6. Step 6: Final answer
    x = 6,708.32

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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.