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Finding the Fourth Proportional to 6,341.78, 8,751.90 and 3,547.28

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Solution

The fourth proportional to 6,341.78, 8,751.90 and 3,547.28 is: 4,895.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.78 : 8,751.90 = 3,547.28 : x
  2. Step 2: Convert to fraction form
    6,341.78/8,751.90 = 3,547.28/x
  3. Step 3: Cross multiply
    6,341.78x = 8,751.90 × 3,547.28
  4. Step 4: Simplify right side
    6,341.78x = 31,045,439.83
  5. Step 5: Solve for x
    x = 31,045,439.83/6,341.78
  6. Step 6: Final answer
    x = 4,895.38

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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.