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Finding the Fourth Proportional to 3,657.76, 5,473.68 and 3,476.32

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Solution

The fourth proportional to 3,657.76, 5,473.68 and 3,476.32 is: 5,202.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,657.76 : 5,473.68 = 3,476.32 : x
  2. Step 2: Convert to fraction form
    3,657.76/5,473.68 = 3,476.32/x
  3. Step 3: Cross multiply
    3,657.76x = 5,473.68 × 3,476.32
  4. Step 4: Simplify right side
    3,657.76x = 19,028,263.26
  5. Step 5: Solve for x
    x = 19,028,263.26/3,657.76
  6. Step 6: Final answer
    x = 5,202.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.