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Finding the Fourth Proportional to 4,907.90, 6,775.36 and 3,230.40

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Solution

The fourth proportional to 4,907.90, 6,775.36 and 3,230.40 is: 4,459.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907.90 : 6,775.36 = 3,230.40 : x
  2. Step 2: Convert to fraction form
    4,907.90/6,775.36 = 3,230.40/x
  3. Step 3: Cross multiply
    4,907.90x = 6,775.36 × 3,230.40
  4. Step 4: Simplify right side
    4,907.90x = 21,887,122.94
  5. Step 5: Solve for x
    x = 21,887,122.94/4,907.90
  6. Step 6: Final answer
    x = 4,459.57

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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.