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Finding the Fourth Proportional to 3,341.95, 5,010.25 and 1,586.07

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Solution

The fourth proportional to 3,341.95, 5,010.25 and 1,586.07 is: 2,377.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,341.95 : 5,010.25 = 1,586.07 : x
  2. Step 2: Convert to fraction form
    3,341.95/5,010.25 = 1,586.07/x
  3. Step 3: Cross multiply
    3,341.95x = 5,010.25 × 1,586.07
  4. Step 4: Simplify right side
    3,341.95x = 7,946,607.22
  5. Step 5: Solve for x
    x = 7,946,607.22/3,341.95
  6. Step 6: Final answer
    x = 2,377.84

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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.