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Finding the Fourth Proportional to 5,477.69, 8,216.25 and 4,868.39

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Solution

The fourth proportional to 5,477.69, 8,216.25 and 4,868.39 is: 7,302.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,477.69 : 8,216.25 = 4,868.39 : x
  2. Step 2: Convert to fraction form
    5,477.69/8,216.25 = 4,868.39/x
  3. Step 3: Cross multiply
    5,477.69x = 8,216.25 × 4,868.39
  4. Step 4: Simplify right side
    5,477.69x = 39,999,909.34
  5. Step 5: Solve for x
    x = 39,999,909.34/5,477.69
  6. Step 6: Final answer
    x = 7,302.33

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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.