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Finding the Fourth Proportional to 3,509.63, 5,260.40 and 1,534.79

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Solution

The fourth proportional to 3,509.63, 5,260.40 and 1,534.79 is: 2,300.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,509.63 : 5,260.40 = 1,534.79 : x
  2. Step 2: Convert to fraction form
    3,509.63/5,260.40 = 1,534.79/x
  3. Step 3: Cross multiply
    3,509.63x = 5,260.40 × 1,534.79
  4. Step 4: Simplify right side
    3,509.63x = 8,073,610.07
  5. Step 5: Solve for x
    x = 8,073,610.07/3,509.63
  6. Step 6: Final answer
    x = 2,300.42

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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.