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Finding the Fourth Proportional to 3,250.22, 4,875.32 and 785.03

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Solution

The fourth proportional to 3,250.22, 4,875.32 and 785.03 is: 1,177.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,250.22 : 4,875.32 = 785.03 : x
  2. Step 2: Convert to fraction form
    3,250.22/4,875.32 = 785.03/x
  3. Step 3: Cross multiply
    3,250.22x = 4,875.32 × 785.03
  4. Step 4: Simplify right side
    3,250.22x = 3,827,244.16
  5. Step 5: Solve for x
    x = 3,827,244.16/3,250.22
  6. Step 6: Final answer
    x = 1,177.54

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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.