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Finding the Fourth Proportional to 5,395.70, 7,446.08 and 3,038.00

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Solution

The fourth proportional to 5,395.70, 7,446.08 and 3,038.00 is: 4,192.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,395.70 : 7,446.08 = 3,038.00 : x
  2. Step 2: Convert to fraction form
    5,395.70/7,446.08 = 3,038.00/x
  3. Step 3: Cross multiply
    5,395.70x = 7,446.08 × 3,038.00
  4. Step 4: Simplify right side
    5,395.70x = 22,621,138.62
  5. Step 5: Solve for x
    x = 22,621,138.62/5,395.70
  6. Step 6: Final answer
    x = 4,192.44

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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.