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Finding the Fourth Proportional to 3,470.39, 5,201.06 and 3,030.60

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Solution

The fourth proportional to 3,470.39, 5,201.06 and 3,030.60 is: 4,541.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.39 : 5,201.06 = 3,030.60 : x
  2. Step 2: Convert to fraction form
    3,470.39/5,201.06 = 3,030.60/x
  3. Step 3: Cross multiply
    3,470.39x = 5,201.06 × 3,030.60
  4. Step 4: Simplify right side
    3,470.39x = 15,762,328.65
  5. Step 5: Solve for x
    x = 15,762,328.65/3,470.39
  6. Step 6: Final answer
    x = 4,541.94

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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.