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Finding the Fourth Proportional to 4,470.33, 6,705.77 and 1,509.07

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Solution

The fourth proportional to 4,470.33, 6,705.77 and 1,509.07 is: 2,263.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,470.33 : 6,705.77 = 1,509.07 : x
  2. Step 2: Convert to fraction form
    4,470.33/6,705.77 = 1,509.07/x
  3. Step 3: Cross multiply
    4,470.33x = 6,705.77 × 1,509.07
  4. Step 4: Simplify right side
    4,470.33x = 10,119,476.33
  5. Step 5: Solve for x
    x = 10,119,476.33/4,470.33
  6. Step 6: Final answer
    x = 2,263.70

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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.