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Finding the Fourth Proportional to 6,196.06, 8,547.80 and 3,678.28

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Solution

The fourth proportional to 6,196.06, 8,547.80 and 3,678.28 is: 5,074.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.06 : 8,547.80 = 3,678.28 : x
  2. Step 2: Convert to fraction form
    6,196.06/8,547.80 = 3,678.28/x
  3. Step 3: Cross multiply
    6,196.06x = 8,547.80 × 3,678.28
  4. Step 4: Simplify right side
    6,196.06x = 31,441,162.02
  5. Step 5: Solve for x
    x = 31,441,162.02/6,196.06
  6. Step 6: Final answer
    x = 5,074.38

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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.