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Finding the Fourth Proportional to 3,210.03, 4,813.74 and 1,566.09

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Solution

The fourth proportional to 3,210.03, 4,813.74 and 1,566.09 is: 2,348.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210.03 : 4,813.74 = 1,566.09 : x
  2. Step 2: Convert to fraction form
    3,210.03/4,813.74 = 1,566.09/x
  3. Step 3: Cross multiply
    3,210.03x = 4,813.74 × 1,566.09
  4. Step 4: Simplify right side
    3,210.03x = 7,538,750.08
  5. Step 5: Solve for x
    x = 7,538,750.08/3,210.03
  6. Step 6: Final answer
    x = 2,348.50

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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.