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Finding the Fourth Proportional to 3,403.58, 5,095.63 and 2,306.00

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Solution

The fourth proportional to 3,403.58, 5,095.63 and 2,306.00 is: 3,452.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,403.58 : 5,095.63 = 2,306.00 : x
  2. Step 2: Convert to fraction form
    3,403.58/5,095.63 = 2,306.00/x
  3. Step 3: Cross multiply
    3,403.58x = 5,095.63 × 2,306.00
  4. Step 4: Simplify right side
    3,403.58x = 11,750,500.18
  5. Step 5: Solve for x
    x = 11,750,500.18/3,403.58
  6. Step 6: Final answer
    x = 3,452.40

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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.