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Finding the Fourth Proportional to 3,710.50, 5,569.60 and 2,486.47

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Solution

The fourth proportional to 3,710.50, 5,569.60 and 2,486.47 is: 3,732.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.50 : 5,569.60 = 2,486.47 : x
  2. Step 2: Convert to fraction form
    3,710.50/5,569.60 = 2,486.47/x
  3. Step 3: Cross multiply
    3,710.50x = 5,569.60 × 2,486.47
  4. Step 4: Simplify right side
    3,710.50x = 13,848,643.31
  5. Step 5: Solve for x
    x = 13,848,643.31/3,710.50
  6. Step 6: Final answer
    x = 3,732.28

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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.