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Finding the Fourth Proportional to 5,730.59, 7,899.76 and 4,470.23

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Solution

The fourth proportional to 5,730.59, 7,899.76 and 4,470.23 is: 6,162.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.59 : 7,899.76 = 4,470.23 : x
  2. Step 2: Convert to fraction form
    5,730.59/7,899.76 = 4,470.23/x
  3. Step 3: Cross multiply
    5,730.59x = 7,899.76 × 4,470.23
  4. Step 4: Simplify right side
    5,730.59x = 35,313,744.14
  5. Step 5: Solve for x
    x = 35,313,744.14/5,730.59
  6. Step 6: Final answer
    x = 6,162.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.