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Finding the Fourth Proportional to 3,535.69, 5,300.28 and 1,225.57

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Solution

The fourth proportional to 3,535.69, 5,300.28 and 1,225.57 is: 1,837.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535.69 : 5,300.28 = 1,225.57 : x
  2. Step 2: Convert to fraction form
    3,535.69/5,300.28 = 1,225.57/x
  3. Step 3: Cross multiply
    3,535.69x = 5,300.28 × 1,225.57
  4. Step 4: Simplify right side
    3,535.69x = 6,495,864.16
  5. Step 5: Solve for x
    x = 6,495,864.16/3,535.69
  6. Step 6: Final answer
    x = 1,837.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.