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Finding the Fourth Proportional to 5,876.55, 8,809.56 and 4,829.22

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Solution

The fourth proportional to 5,876.55, 8,809.56 and 4,829.22 is: 7,239.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.55 : 8,809.56 = 4,829.22 : x
  2. Step 2: Convert to fraction form
    5,876.55/8,809.56 = 4,829.22/x
  3. Step 3: Cross multiply
    5,876.55x = 8,809.56 × 4,829.22
  4. Step 4: Simplify right side
    5,876.55x = 42,543,303.34
  5. Step 5: Solve for x
    x = 42,543,303.34/5,876.55
  6. Step 6: Final answer
    x = 7,239.50

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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.