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Finding the Fourth Proportional to 3,386.09, 5,078.62 and 1,411.64

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Solution

The fourth proportional to 3,386.09, 5,078.62 and 1,411.64 is: 2,117.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,386.09 : 5,078.62 = 1,411.64 : x
  2. Step 2: Convert to fraction form
    3,386.09/5,078.62 = 1,411.64/x
  3. Step 3: Cross multiply
    3,386.09x = 5,078.62 × 1,411.64
  4. Step 4: Simplify right side
    3,386.09x = 7,169,189.67
  5. Step 5: Solve for x
    x = 7,169,189.67/3,386.09
  6. Step 6: Final answer
    x = 2,117.25

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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.