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Finding the Fourth Proportional to 4,547.25, 6,275.49 and 2,755.96

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Solution

The fourth proportional to 4,547.25, 6,275.49 and 2,755.96 is: 3,803.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,547.25 : 6,275.49 = 2,755.96 : x
  2. Step 2: Convert to fraction form
    4,547.25/6,275.49 = 2,755.96/x
  3. Step 3: Cross multiply
    4,547.25x = 6,275.49 × 2,755.96
  4. Step 4: Simplify right side
    4,547.25x = 17,295,021.19
  5. Step 5: Solve for x
    x = 17,295,021.19/4,547.25
  6. Step 6: Final answer
    x = 3,803.40

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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.