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Finding the Fourth Proportional to 3,606.79, 5,410.57 and 1,527.01

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Solution

The fourth proportional to 3,606.79, 5,410.57 and 1,527.01 is: 2,290.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.79 : 5,410.57 = 1,527.01 : x
  2. Step 2: Convert to fraction form
    3,606.79/5,410.57 = 1,527.01/x
  3. Step 3: Cross multiply
    3,606.79x = 5,410.57 × 1,527.01
  4. Step 4: Simplify right side
    3,606.79x = 8,261,994.50
  5. Step 5: Solve for x
    x = 8,261,994.50/3,606.79
  6. Step 6: Final answer
    x = 2,290.68

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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.