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Finding the Fourth Proportional to 5,511.84, 7,602.93 and 3,623.64

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Solution

The fourth proportional to 5,511.84, 7,602.93 and 3,623.64 is: 4,998.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,511.84 : 7,602.93 = 3,623.64 : x
  2. Step 2: Convert to fraction form
    5,511.84/7,602.93 = 3,623.64/x
  3. Step 3: Cross multiply
    5,511.84x = 7,602.93 × 3,623.64
  4. Step 4: Simplify right side
    5,511.84x = 27,550,281.27
  5. Step 5: Solve for x
    x = 27,550,281.27/5,511.84
  6. Step 6: Final answer
    x = 4,998.38

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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.