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Finding the Fourth Proportional to 3,528.54, 4,870.02 and 2,036.25

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Solution

The fourth proportional to 3,528.54, 4,870.02 and 2,036.25 is: 2,810.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,528.54 : 4,870.02 = 2,036.25 : x
  2. Step 2: Convert to fraction form
    3,528.54/4,870.02 = 2,036.25/x
  3. Step 3: Cross multiply
    3,528.54x = 4,870.02 × 2,036.25
  4. Step 4: Simplify right side
    3,528.54x = 9,916,558.41
  5. Step 5: Solve for x
    x = 9,916,558.41/3,528.54
  6. Step 6: Final answer
    x = 2,810.39

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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.