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Finding the Fourth Proportional to 4,749, 6,553.62 and 2,653.62

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Solution

The fourth proportional to 4,749, 6,553.62 and 2,653.62 is: 3,662.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,749 : 6,553.62 = 2,653.62 : x
  2. Step 2: Convert to fraction form
    4,749/6,553.62 = 2,653.62/x
  3. Step 3: Cross multiply
    4,749x = 6,553.62 × 2,653.62
  4. Step 4: Simplify right side
    4,749x = 17,390,817.10
  5. Step 5: Solve for x
    x = 17,390,817.10/4,749
  6. Step 6: Final answer
    x = 3,662.00

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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.