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Finding the Fourth Proportional to 5,653.05, 7,802.64 and 3,637.82

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Solution

The fourth proportional to 5,653.05, 7,802.64 and 3,637.82 is: 5,021.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,653.05 : 7,802.64 = 3,637.82 : x
  2. Step 2: Convert to fraction form
    5,653.05/7,802.64 = 3,637.82/x
  3. Step 3: Cross multiply
    5,653.05x = 7,802.64 × 3,637.82
  4. Step 4: Simplify right side
    5,653.05x = 28,384,612.42
  5. Step 5: Solve for x
    x = 28,384,612.42/5,653.05
  6. Step 6: Final answer
    x = 5,021.11

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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.