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Finding the Fourth Proportional to 4,896.40, 7,339.80 and 4,313.20

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Solution

The fourth proportional to 4,896.40, 7,339.80 and 4,313.20 is: 6,465.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.40 : 7,339.80 = 4,313.20 : x
  2. Step 2: Convert to fraction form
    4,896.40/7,339.80 = 4,313.20/x
  3. Step 3: Cross multiply
    4,896.40x = 7,339.80 × 4,313.20
  4. Step 4: Simplify right side
    4,896.40x = 31,658,025.36
  5. Step 5: Solve for x
    x = 31,658,025.36/4,896.40
  6. Step 6: Final answer
    x = 6,465.57

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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.