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Finding the Fourth Proportional to 5,735.79, 8,603.10 and 1,576.22

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Solution

The fourth proportional to 5,735.79, 8,603.10 and 1,576.22 is: 2,364.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,735.79 : 8,603.10 = 1,576.22 : x
  2. Step 2: Convert to fraction form
    5,735.79/8,603.10 = 1,576.22/x
  3. Step 3: Cross multiply
    5,735.79x = 8,603.10 × 1,576.22
  4. Step 4: Simplify right side
    5,735.79x = 13,560,378.28
  5. Step 5: Solve for x
    x = 13,560,378.28/5,735.79
  6. Step 6: Final answer
    x = 2,364.17

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1.5x scale

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.