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Finding the Fourth Proportional to 3,740.37, 5,600.72 and 3,412.32

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Solution

The fourth proportional to 3,740.37, 5,600.72 and 3,412.32 is: 5,109.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.37 : 5,600.72 = 3,412.32 : x
  2. Step 2: Convert to fraction form
    3,740.37/5,600.72 = 3,412.32/x
  3. Step 3: Cross multiply
    3,740.37x = 5,600.72 × 3,412.32
  4. Step 4: Simplify right side
    3,740.37x = 19,111,403.81
  5. Step 5: Solve for x
    x = 19,111,403.81/3,740.37
  6. Step 6: Final answer
    x = 5,109.50

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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.