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Finding the Fourth Proportional to 5,536.65, 7,636.25 and 3,547.39

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Solution

The fourth proportional to 5,536.65, 7,636.25 and 3,547.39 is: 4,892.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,536.65 : 7,636.25 = 3,547.39 : x
  2. Step 2: Convert to fraction form
    5,536.65/7,636.25 = 3,547.39/x
  3. Step 3: Cross multiply
    5,536.65x = 7,636.25 × 3,547.39
  4. Step 4: Simplify right side
    5,536.65x = 27,088,756.89
  5. Step 5: Solve for x
    x = 27,088,756.89/5,536.65
  6. Step 6: Final answer
    x = 4,892.63

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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.