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Finding the Fourth Proportional to 4,427.64, 6,641.43 and 1,830.63

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Solution

The fourth proportional to 4,427.64, 6,641.43 and 1,830.63 is: 2,745.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,427.64 : 6,641.43 = 1,830.63 : x
  2. Step 2: Convert to fraction form
    4,427.64/6,641.43 = 1,830.63/x
  3. Step 3: Cross multiply
    4,427.64x = 6,641.43 × 1,830.63
  4. Step 4: Simplify right side
    4,427.64x = 12,158,001.00
  5. Step 5: Solve for x
    x = 12,158,001.00/4,427.64
  6. Step 6: Final answer
    x = 2,745.93

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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.