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Finding the Fourth Proportional to 4,327.89, 6,492.24 and 1,405.41

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Solution

The fourth proportional to 4,327.89, 6,492.24 and 1,405.41 is: 2,108.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,327.89 : 6,492.24 = 1,405.41 : x
  2. Step 2: Convert to fraction form
    4,327.89/6,492.24 = 1,405.41/x
  3. Step 3: Cross multiply
    4,327.89x = 6,492.24 × 1,405.41
  4. Step 4: Simplify right side
    4,327.89x = 9,124,259.02
  5. Step 5: Solve for x
    x = 9,124,259.02/4,327.89
  6. Step 6: Final answer
    x = 2,108.25

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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.