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Finding the Fourth Proportional to 5,580.41, 8,370.67 and 1,420.42

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Solution

The fourth proportional to 5,580.41, 8,370.67 and 1,420.42 is: 2,130.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,580.41 : 8,370.67 = 1,420.42 : x
  2. Step 2: Convert to fraction form
    5,580.41/8,370.67 = 1,420.42/x
  3. Step 3: Cross multiply
    5,580.41x = 8,370.67 × 1,420.42
  4. Step 4: Simplify right side
    5,580.41x = 11,889,866.74
  5. Step 5: Solve for x
    x = 11,889,866.74/5,580.41
  6. Step 6: Final answer
    x = 2,130.64

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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.