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Finding the Fourth Proportional to 3,547.02, 4,894.92 and 1,975.08

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Solution

The fourth proportional to 3,547.02, 4,894.92 and 1,975.08 is: 2,725.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.02 : 4,894.92 = 1,975.08 : x
  2. Step 2: Convert to fraction form
    3,547.02/4,894.92 = 1,975.08/x
  3. Step 3: Cross multiply
    3,547.02x = 4,894.92 × 1,975.08
  4. Step 4: Simplify right side
    3,547.02x = 9,667,858.59
  5. Step 5: Solve for x
    x = 9,667,858.59/3,547.02
  6. Step 6: Final answer
    x = 2,725.63

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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.