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Finding the Fourth Proportional to 3,406.59, 5,109.08 and 1,460.16

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Solution

The fourth proportional to 3,406.59, 5,109.08 and 1,460.16 is: 2,189.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.59 : 5,109.08 = 1,460.16 : x
  2. Step 2: Convert to fraction form
    3,406.59/5,109.08 = 1,460.16/x
  3. Step 3: Cross multiply
    3,406.59x = 5,109.08 × 1,460.16
  4. Step 4: Simplify right side
    3,406.59x = 7,460,066.95
  5. Step 5: Solve for x
    x = 7,460,066.95/3,406.59
  6. Step 6: Final answer
    x = 2,189.89

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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.