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Finding the Fourth Proportional to 4,911.46, 7,369.42 and 4,496.20

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Solution

The fourth proportional to 4,911.46, 7,369.42 and 4,496.20 is: 6,746.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,911.46 : 7,369.42 = 4,496.20 : x
  2. Step 2: Convert to fraction form
    4,911.46/7,369.42 = 4,496.20/x
  3. Step 3: Cross multiply
    4,911.46x = 7,369.42 × 4,496.20
  4. Step 4: Simplify right side
    4,911.46x = 33,134,386.20
  5. Step 5: Solve for x
    x = 33,134,386.20/4,911.46
  6. Step 6: Final answer
    x = 6,746.34

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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.