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Finding the Fourth Proportional to 3,470.51, 5,205.62 and 1,005.28

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Solution

The fourth proportional to 3,470.51, 5,205.62 and 1,005.28 is: 1,507.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.51 : 5,205.62 = 1,005.28 : x
  2. Step 2: Convert to fraction form
    3,470.51/5,205.62 = 1,005.28/x
  3. Step 3: Cross multiply
    3,470.51x = 5,205.62 × 1,005.28
  4. Step 4: Simplify right side
    3,470.51x = 5,233,095.17
  5. Step 5: Solve for x
    x = 5,233,095.17/3,470.51
  6. Step 6: Final answer
    x = 1,507.87

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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.