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Finding the Fourth Proportional to 6,065.82, 8,370 and 3,547.80

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Solution

The fourth proportional to 6,065.82, 8,370 and 3,547.80 is: 4,895.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,065.82 : 8,370 = 3,547.80 : x
  2. Step 2: Convert to fraction form
    6,065.82/8,370 = 3,547.80/x
  3. Step 3: Cross multiply
    6,065.82x = 8,370 × 3,547.80
  4. Step 4: Simplify right side
    6,065.82x = 29,695,086
  5. Step 5: Solve for x
    x = 29,695,086/6,065.82
  6. Step 6: Final answer
    x = 4,895.48

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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.