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Finding the Fourth Proportional to 4,684.30, 7,025.64 and 1,762.63

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Solution

The fourth proportional to 4,684.30, 7,025.64 and 1,762.63 is: 2,643.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.30 : 7,025.64 = 1,762.63 : x
  2. Step 2: Convert to fraction form
    4,684.30/7,025.64 = 1,762.63/x
  3. Step 3: Cross multiply
    4,684.30x = 7,025.64 × 1,762.63
  4. Step 4: Simplify right side
    4,684.30x = 12,383,603.83
  5. Step 5: Solve for x
    x = 12,383,603.83/4,684.30
  6. Step 6: Final answer
    x = 2,643.64

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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.