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Finding the Fourth Proportional to 4,580.89, 6,872.22 and 1,460.79

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Solution

The fourth proportional to 4,580.89, 6,872.22 and 1,460.79 is: 2,191.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,580.89 : 6,872.22 = 1,460.79 : x
  2. Step 2: Convert to fraction form
    4,580.89/6,872.22 = 1,460.79/x
  3. Step 3: Cross multiply
    4,580.89x = 6,872.22 × 1,460.79
  4. Step 4: Simplify right side
    4,580.89x = 10,038,870.25
  5. Step 5: Solve for x
    x = 10,038,870.25/4,580.89
  6. Step 6: Final answer
    x = 2,191.47

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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.