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Finding the Fourth Proportional to 5,506.84, 7,596.56 and 3,382.85

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Solution

The fourth proportional to 5,506.84, 7,596.56 and 3,382.85 is: 4,666.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,506.84 : 7,596.56 = 3,382.85 : x
  2. Step 2: Convert to fraction form
    5,506.84/7,596.56 = 3,382.85/x
  3. Step 3: Cross multiply
    5,506.84x = 7,596.56 × 3,382.85
  4. Step 4: Simplify right side
    5,506.84x = 25,697,985.01
  5. Step 5: Solve for x
    x = 25,697,985.01/5,506.84
  6. Step 6: Final answer
    x = 4,666.56

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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.