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Finding the Fourth Proportional to 3,547.96, 4,896.10 and 1,975.98

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Solution

The fourth proportional to 3,547.96, 4,896.10 and 1,975.98 is: 2,726.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.96 : 4,896.10 = 1,975.98 : x
  2. Step 2: Convert to fraction form
    3,547.96/4,896.10 = 1,975.98/x
  3. Step 3: Cross multiply
    3,547.96x = 4,896.10 × 1,975.98
  4. Step 4: Simplify right side
    3,547.96x = 9,674,595.68
  5. Step 5: Solve for x
    x = 9,674,595.68/3,547.96
  6. Step 6: Final answer
    x = 2,726.81

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1.5x scale

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.