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Finding the Fourth Proportional to 3,562.63, 5,345.32 and 2,509.46

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Solution

The fourth proportional to 3,562.63, 5,345.32 and 2,509.46 is: 3,765.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,562.63 : 5,345.32 = 2,509.46 : x
  2. Step 2: Convert to fraction form
    3,562.63/5,345.32 = 2,509.46/x
  3. Step 3: Cross multiply
    3,562.63x = 5,345.32 × 2,509.46
  4. Step 4: Simplify right side
    3,562.63x = 13,413,836.39
  5. Step 5: Solve for x
    x = 13,413,836.39/3,562.63
  6. Step 6: Final answer
    x = 3,765.15

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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.