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Finding the Fourth Proportional to 5,005.53, 6,907.17 and 2,880.50

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Solution

The fourth proportional to 5,005.53, 6,907.17 and 2,880.50 is: 3,974.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,005.53 : 6,907.17 = 2,880.50 : x
  2. Step 2: Convert to fraction form
    5,005.53/6,907.17 = 2,880.50/x
  3. Step 3: Cross multiply
    5,005.53x = 6,907.17 × 2,880.50
  4. Step 4: Simplify right side
    5,005.53x = 19,896,068.65
  5. Step 5: Solve for x
    x = 19,896,068.65/5,005.53
  6. Step 6: Final answer
    x = 3,974.82

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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.