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Finding the Fourth Proportional to 5,312.67, 7,970.63 and 3,835.23

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Solution

The fourth proportional to 5,312.67, 7,970.63 and 3,835.23 is: 5,754.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.67 : 7,970.63 = 3,835.23 : x
  2. Step 2: Convert to fraction form
    5,312.67/7,970.63 = 3,835.23/x
  3. Step 3: Cross multiply
    5,312.67x = 7,970.63 × 3,835.23
  4. Step 4: Simplify right side
    5,312.67x = 30,569,180.12
  5. Step 5: Solve for x
    x = 30,569,180.12/5,312.67
  6. Step 6: Final answer
    x = 5,754.01

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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.