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Finding the Fourth Proportional to 5,312.67, 7,970.43 and 4,731.66

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Solution

The fourth proportional to 5,312.67, 7,970.43 and 4,731.66 is: 7,098.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.67 : 7,970.43 = 4,731.66 : x
  2. Step 2: Convert to fraction form
    5,312.67/7,970.43 = 4,731.66/x
  3. Step 3: Cross multiply
    5,312.67x = 7,970.43 × 4,731.66
  4. Step 4: Simplify right side
    5,312.67x = 37,713,360.14
  5. Step 5: Solve for x
    x = 37,713,360.14/5,312.67
  6. Step 6: Final answer
    x = 7,098.76

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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.