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Finding the Fourth Proportional to 4,435.50, 6,653.07 and 2,585.28

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Solution

The fourth proportional to 4,435.50, 6,653.07 and 2,585.28 is: 3,877.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,435.50 : 6,653.07 = 2,585.28 : x
  2. Step 2: Convert to fraction form
    4,435.50/6,653.07 = 2,585.28/x
  3. Step 3: Cross multiply
    4,435.50x = 6,653.07 × 2,585.28
  4. Step 4: Simplify right side
    4,435.50x = 17,200,048.81
  5. Step 5: Solve for x
    x = 17,200,048.81/4,435.50
  6. Step 6: Final answer
    x = 3,877.82

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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.