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Finding the Fourth Proportional to 3,547.42, 4,894.56 and 1,975.54

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Solution

The fourth proportional to 3,547.42, 4,894.56 and 1,975.54 is: 2,725.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.42 : 4,894.56 = 1,975.54 : x
  2. Step 2: Convert to fraction form
    3,547.42/4,894.56 = 1,975.54/x
  3. Step 3: Cross multiply
    3,547.42x = 4,894.56 × 1,975.54
  4. Step 4: Simplify right side
    3,547.42x = 9,669,399.06
  5. Step 5: Solve for x
    x = 9,669,399.06/3,547.42
  6. Step 6: Final answer
    x = 2,725.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.