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Finding the Fourth Proportional to 3,345.86, 4,617.86 and 1,929.29

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Solution

The fourth proportional to 3,345.86, 4,617.86 and 1,929.29 is: 2,662.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,345.86 : 4,617.86 = 1,929.29 : x
  2. Step 2: Convert to fraction form
    3,345.86/4,617.86 = 1,929.29/x
  3. Step 3: Cross multiply
    3,345.86x = 4,617.86 × 1,929.29
  4. Step 4: Simplify right side
    3,345.86x = 8,909,191.12
  5. Step 5: Solve for x
    x = 8,909,191.12/3,345.86
  6. Step 6: Final answer
    x = 2,662.75

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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.