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Finding the Fourth Proportional to 5,585.05, 7,708.53 and 3,696.94

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Solution

The fourth proportional to 5,585.05, 7,708.53 and 3,696.94 is: 5,102.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,585.05 : 7,708.53 = 3,696.94 : x
  2. Step 2: Convert to fraction form
    5,585.05/7,708.53 = 3,696.94/x
  3. Step 3: Cross multiply
    5,585.05x = 7,708.53 × 3,696.94
  4. Step 4: Simplify right side
    5,585.05x = 28,497,972.90
  5. Step 5: Solve for x
    x = 28,497,972.90/5,585.05
  6. Step 6: Final answer
    x = 5,102.55

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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.