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Finding the Fourth Proportional to 3,547.62, 5,323.08 and 1,817.46

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Solution

The fourth proportional to 3,547.62, 5,323.08 and 1,817.46 is: 2,727.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.62 : 5,323.08 = 1,817.46 : x
  2. Step 2: Convert to fraction form
    3,547.62/5,323.08 = 1,817.46/x
  3. Step 3: Cross multiply
    3,547.62x = 5,323.08 × 1,817.46
  4. Step 4: Simplify right side
    3,547.62x = 9,674,484.98
  5. Step 5: Solve for x
    x = 9,674,484.98/3,547.62
  6. Step 6: Final answer
    x = 2,727.04

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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.