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Finding the Fourth Proportional to 3,346.54, 4,620.40 and 2,152.07

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Solution

The fourth proportional to 3,346.54, 4,620.40 and 2,152.07 is: 2,971.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,346.54 : 4,620.40 = 2,152.07 : x
  2. Step 2: Convert to fraction form
    3,346.54/4,620.40 = 2,152.07/x
  3. Step 3: Cross multiply
    3,346.54x = 4,620.40 × 2,152.07
  4. Step 4: Simplify right side
    3,346.54x = 9,943,390.37
  5. Step 5: Solve for x
    x = 9,943,390.37/3,346.54
  6. Step 6: Final answer
    x = 2,971.25

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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.