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Finding the Fourth Proportional to 3,547.86, 4,896.05 and 1,975.96

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Solution

The fourth proportional to 3,547.86, 4,896.05 and 1,975.96 is: 2,726.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.86 : 4,896.05 = 1,975.96 : x
  2. Step 2: Convert to fraction form
    3,547.86/4,896.05 = 1,975.96/x
  3. Step 3: Cross multiply
    3,547.86x = 4,896.05 × 1,975.96
  4. Step 4: Simplify right side
    3,547.86x = 9,674,387.05
  5. Step 5: Solve for x
    x = 9,674,387.05/3,547.86
  6. Step 6: Final answer
    x = 2,726.82

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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.