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Finding the Fourth Proportional to 5,767.19, 8,619.19 and 4,210.47

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Solution

The fourth proportional to 5,767.19, 8,619.19 and 4,210.47 is: 6,292.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.19 : 8,619.19 = 4,210.47 : x
  2. Step 2: Convert to fraction form
    5,767.19/8,619.19 = 4,210.47/x
  3. Step 3: Cross multiply
    5,767.19x = 8,619.19 × 4,210.47
  4. Step 4: Simplify right side
    5,767.19x = 36,290,840.92
  5. Step 5: Solve for x
    x = 36,290,840.92/5,767.19
  6. Step 6: Final answer
    x = 6,292.64

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1.5x scale

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.