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Finding the Fourth Proportional to 5,708.54, 7,875.44 and 3,470.06

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Solution

The fourth proportional to 5,708.54, 7,875.44 and 3,470.06 is: 4,787.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,708.54 : 7,875.44 = 3,470.06 : x
  2. Step 2: Convert to fraction form
    5,708.54/7,875.44 = 3,470.06/x
  3. Step 3: Cross multiply
    5,708.54x = 7,875.44 × 3,470.06
  4. Step 4: Simplify right side
    5,708.54x = 27,328,251.66
  5. Step 5: Solve for x
    x = 27,328,251.66/5,708.54
  6. Step 6: Final answer
    x = 4,787.26

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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.