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Finding the Fourth Proportional to 4,606.40, 6,358.56 and 3,612.80

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Solution

The fourth proportional to 4,606.40, 6,358.56 and 3,612.80 is: 4,987.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,606.40 : 6,358.56 = 3,612.80 : x
  2. Step 2: Convert to fraction form
    4,606.40/6,358.56 = 3,612.80/x
  3. Step 3: Cross multiply
    4,606.40x = 6,358.56 × 3,612.80
  4. Step 4: Simplify right side
    4,606.40x = 22,972,205.57
  5. Step 5: Solve for x
    x = 22,972,205.57/4,606.40
  6. Step 6: Final answer
    x = 4,987.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.