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Finding the Fourth Proportional to 3,701.84, 5,547.96 and 1,754.64

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Solution

The fourth proportional to 3,701.84, 5,547.96 and 1,754.64 is: 2,629.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,701.84 : 5,547.96 = 1,754.64 : x
  2. Step 2: Convert to fraction form
    3,701.84/5,547.96 = 1,754.64/x
  3. Step 3: Cross multiply
    3,701.84x = 5,547.96 × 1,754.64
  4. Step 4: Simplify right side
    3,701.84x = 9,734,672.53
  5. Step 5: Solve for x
    x = 9,734,672.53/3,701.84
  6. Step 6: Final answer
    x = 2,629.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.