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Finding the Fourth Proportional to 5,329.82, 7,357.16 and 4,580.78

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Solution

The fourth proportional to 5,329.82, 7,357.16 and 4,580.78 is: 6,323.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,329.82 : 7,357.16 = 4,580.78 : x
  2. Step 2: Convert to fraction form
    5,329.82/7,357.16 = 4,580.78/x
  3. Step 3: Cross multiply
    5,329.82x = 7,357.16 × 4,580.78
  4. Step 4: Simplify right side
    5,329.82x = 33,701,506.05
  5. Step 5: Solve for x
    x = 33,701,506.05/5,329.82
  6. Step 6: Final answer
    x = 6,323.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.