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Finding the Fourth Proportional to 3,467.60, 4,785.60 and 1,975.52

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Solution

The fourth proportional to 3,467.60, 4,785.60 and 1,975.52 is: 2,726.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.60 : 4,785.60 = 1,975.52 : x
  2. Step 2: Convert to fraction form
    3,467.60/4,785.60 = 1,975.52/x
  3. Step 3: Cross multiply
    3,467.60x = 4,785.60 × 1,975.52
  4. Step 4: Simplify right side
    3,467.60x = 9,454,048.51
  5. Step 5: Solve for x
    x = 9,454,048.51/3,467.60
  6. Step 6: Final answer
    x = 2,726.40

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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.