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Finding the Fourth Proportional to 5,369.60, 7,409.94 and 3,012.50

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Solution

The fourth proportional to 5,369.60, 7,409.94 and 3,012.50 is: 4,157.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,369.60 : 7,409.94 = 3,012.50 : x
  2. Step 2: Convert to fraction form
    5,369.60/7,409.94 = 3,012.50/x
  3. Step 3: Cross multiply
    5,369.60x = 7,409.94 × 3,012.50
  4. Step 4: Simplify right side
    5,369.60x = 22,322,444.25
  5. Step 5: Solve for x
    x = 22,322,444.25/5,369.60
  6. Step 6: Final answer
    x = 4,157.19

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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.