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Finding the Fourth Proportional to 4,709.36, 6,501.84 and 3,033.65

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Solution

The fourth proportional to 4,709.36, 6,501.84 and 3,033.65 is: 4,188.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.36 : 6,501.84 = 3,033.65 : x
  2. Step 2: Convert to fraction form
    4,709.36/6,501.84 = 3,033.65/x
  3. Step 3: Cross multiply
    4,709.36x = 6,501.84 × 3,033.65
  4. Step 4: Simplify right side
    4,709.36x = 19,724,306.92
  5. Step 5: Solve for x
    x = 19,724,306.92/4,709.36
  6. Step 6: Final answer
    x = 4,188.32

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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.