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Finding the Fourth Proportional to 5,321.48, 7,312.80 and 5,077.56

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Solution

The fourth proportional to 5,321.48, 7,312.80 and 5,077.56 is: 6,977.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,321.48 : 7,312.80 = 5,077.56 : x
  2. Step 2: Convert to fraction form
    5,321.48/7,312.80 = 5,077.56/x
  3. Step 3: Cross multiply
    5,321.48x = 7,312.80 × 5,077.56
  4. Step 4: Simplify right side
    5,321.48x = 37,131,180.77
  5. Step 5: Solve for x
    x = 37,131,180.77/5,321.48
  6. Step 6: Final answer
    x = 6,977.60

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.