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Finding the Fourth Proportional to 3,706.02, 5,509 and 3,595.46

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Solution

The fourth proportional to 3,706.02, 5,509 and 3,595.46 is: 5,344.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,706.02 : 5,509 = 3,595.46 : x
  2. Step 2: Convert to fraction form
    3,706.02/5,509 = 3,595.46/x
  3. Step 3: Cross multiply
    3,706.02x = 5,509 × 3,595.46
  4. Step 4: Simplify right side
    3,706.02x = 19,807,389.14
  5. Step 5: Solve for x
    x = 19,807,389.14/3,706.02
  6. Step 6: Final answer
    x = 5,344.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.