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Finding the Fourth Proportional to 5,584.66, 7,707.88 and 3,696.34

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Solution

The fourth proportional to 5,584.66, 7,707.88 and 3,696.34 is: 5,101.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,584.66 : 7,707.88 = 3,696.34 : x
  2. Step 2: Convert to fraction form
    5,584.66/7,707.88 = 3,696.34/x
  3. Step 3: Cross multiply
    5,584.66x = 7,707.88 × 3,696.34
  4. Step 4: Simplify right side
    5,584.66x = 28,490,945.16
  5. Step 5: Solve for x
    x = 28,490,945.16/5,584.66
  6. Step 6: Final answer
    x = 5,101.64

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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.