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Finding the Fourth Proportional to 3,710.42, 5,539.10 and 3,580.62

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Solution

The fourth proportional to 3,710.42, 5,539.10 and 3,580.62 is: 5,345.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.42 : 5,539.10 = 3,580.62 : x
  2. Step 2: Convert to fraction form
    3,710.42/5,539.10 = 3,580.62/x
  3. Step 3: Cross multiply
    3,710.42x = 5,539.10 × 3,580.62
  4. Step 4: Simplify right side
    3,710.42x = 19,833,412.24
  5. Step 5: Solve for x
    x = 19,833,412.24/3,710.42
  6. Step 6: Final answer
    x = 5,345.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.