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Finding the Fourth Proportional to 5,409.84, 7,462.56 and 3,419.64

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Solution

The fourth proportional to 5,409.84, 7,462.56 and 3,419.64 is: 4,717.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.84 : 7,462.56 = 3,419.64 : x
  2. Step 2: Convert to fraction form
    5,409.84/7,462.56 = 3,419.64/x
  3. Step 3: Cross multiply
    5,409.84x = 7,462.56 × 3,419.64
  4. Step 4: Simplify right side
    5,409.84x = 25,519,268.68
  5. Step 5: Solve for x
    x = 25,519,268.68/5,409.84
  6. Step 6: Final answer
    x = 4,717.19

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1.5x scale

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.