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Finding the Fourth Proportional to 3,485.76, 5,230.92 and 2,317.08

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Solution

The fourth proportional to 3,485.76, 5,230.92 and 2,317.08 is: 3,477.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,485.76 : 5,230.92 = 2,317.08 : x
  2. Step 2: Convert to fraction form
    3,485.76/5,230.92 = 2,317.08/x
  3. Step 3: Cross multiply
    3,485.76x = 5,230.92 × 2,317.08
  4. Step 4: Simplify right side
    3,485.76x = 12,120,460.11
  5. Step 5: Solve for x
    x = 12,120,460.11/3,485.76
  6. Step 6: Final answer
    x = 3,477.14

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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.