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Finding the Fourth Proportional to 3,590.15, 5,387.31 and 1,509.99

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Solution

The fourth proportional to 3,590.15, 5,387.31 and 1,509.99 is: 2,265.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,590.15 : 5,387.31 = 1,509.99 : x
  2. Step 2: Convert to fraction form
    3,590.15/5,387.31 = 1,509.99/x
  3. Step 3: Cross multiply
    3,590.15x = 5,387.31 × 1,509.99
  4. Step 4: Simplify right side
    3,590.15x = 8,134,784.23
  5. Step 5: Solve for x
    x = 8,134,784.23/3,590.15
  6. Step 6: Final answer
    x = 2,265.87

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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.