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Finding the Fourth Proportional to 3,223.75, 4,835.37 and 1,031.89

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Solution

The fourth proportional to 3,223.75, 4,835.37 and 1,031.89 is: 1,547.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.75 : 4,835.37 = 1,031.89 : x
  2. Step 2: Convert to fraction form
    3,223.75/4,835.37 = 1,031.89/x
  3. Step 3: Cross multiply
    3,223.75x = 4,835.37 × 1,031.89
  4. Step 4: Simplify right side
    3,223.75x = 4,989,569.95
  5. Step 5: Solve for x
    x = 4,989,569.95/3,223.75
  6. Step 6: Final answer
    x = 1,547.75

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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.