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Finding the Fourth Proportional to 3,653.76, 5,480.62 and 1,056.68

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Solution

The fourth proportional to 3,653.76, 5,480.62 and 1,056.68 is: 1,585.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.76 : 5,480.62 = 1,056.68 : x
  2. Step 2: Convert to fraction form
    3,653.76/5,480.62 = 1,056.68/x
  3. Step 3: Cross multiply
    3,653.76x = 5,480.62 × 1,056.68
  4. Step 4: Simplify right side
    3,653.76x = 5,791,261.54
  5. Step 5: Solve for x
    x = 5,791,261.54/3,653.76
  6. Step 6: Final answer
    x = 1,585.01

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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.