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Finding the Fourth Proportional to 4,907.40, 7,358.64 and 2,272.64

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Solution

The fourth proportional to 4,907.40, 7,358.64 and 2,272.64 is: 3,407.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,907.40 : 7,358.64 = 2,272.64 : x
  2. Step 2: Convert to fraction form
    4,907.40/7,358.64 = 2,272.64/x
  3. Step 3: Cross multiply
    4,907.40x = 7,358.64 × 2,272.64
  4. Step 4: Simplify right side
    4,907.40x = 16,723,521.89
  5. Step 5: Solve for x
    x = 16,723,521.89/4,907.40
  6. Step 6: Final answer
    x = 3,407.82

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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.