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Finding the Fourth Proportional to 3,007.60, 4,148.22 and 2,653.18

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Solution

The fourth proportional to 3,007.60, 4,148.22 and 2,653.18 is: 3,659.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,007.60 : 4,148.22 = 2,653.18 : x
  2. Step 2: Convert to fraction form
    3,007.60/4,148.22 = 2,653.18/x
  3. Step 3: Cross multiply
    3,007.60x = 4,148.22 × 2,653.18
  4. Step 4: Simplify right side
    3,007.60x = 11,005,974.34
  5. Step 5: Solve for x
    x = 11,005,974.34/3,007.60
  6. Step 6: Final answer
    x = 3,659.39

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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.