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Finding the Fourth Proportional to 5,570.71, 8,356.88 and 1,674.61

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Solution

The fourth proportional to 5,570.71, 8,356.88 and 1,674.61 is: 2,512.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,570.71 : 8,356.88 = 1,674.61 : x
  2. Step 2: Convert to fraction form
    5,570.71/8,356.88 = 1,674.61/x
  3. Step 3: Cross multiply
    5,570.71x = 8,356.88 × 1,674.61
  4. Step 4: Simplify right side
    5,570.71x = 13,994,514.82
  5. Step 5: Solve for x
    x = 13,994,514.82/5,570.71
  6. Step 6: Final answer
    x = 2,512.16

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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.