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Finding the Fourth Proportional to 5,706.36, 7,896.96 and 5,609.16

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Solution

The fourth proportional to 5,706.36, 7,896.96 and 5,609.16 is: 7,762.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,706.36 : 7,896.96 = 5,609.16 : x
  2. Step 2: Convert to fraction form
    5,706.36/7,896.96 = 5,609.16/x
  3. Step 3: Cross multiply
    5,706.36x = 7,896.96 × 5,609.16
  4. Step 4: Simplify right side
    5,706.36x = 44,295,312.15
  5. Step 5: Solve for x
    x = 44,295,312.15/5,706.36
  6. Step 6: Final answer
    x = 7,762.45

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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.