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Finding the Fourth Proportional to 5,584.18, 7,706.49 and 3,347.64

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Solution

The fourth proportional to 5,584.18, 7,706.49 and 3,347.64 is: 4,619.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.18 : 7,706.49 = 3,347.64 : x
  2. Step 2: Convert to fraction form
    5,584.18/7,706.49 = 3,347.64/x
  3. Step 3: Cross multiply
    5,584.18x = 7,706.49 × 3,347.64
  4. Step 4: Simplify right side
    5,584.18x = 25,798,554.18
  5. Step 5: Solve for x
    x = 25,798,554.18/5,584.18
  6. Step 6: Final answer
    x = 4,619.94

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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.