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Finding the Fourth Proportional to 4,605.36, 6,906.60 and 4,340.40

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Solution

The fourth proportional to 4,605.36, 6,906.60 and 4,340.40 is: 6,509.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.36 : 6,906.60 = 4,340.40 : x
  2. Step 2: Convert to fraction form
    4,605.36/6,906.60 = 4,340.40/x
  3. Step 3: Cross multiply
    4,605.36x = 6,906.60 × 4,340.40
  4. Step 4: Simplify right side
    4,605.36x = 29,977,406.64
  5. Step 5: Solve for x
    x = 29,977,406.64/4,605.36
  6. Step 6: Final answer
    x = 6,509.24

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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.