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Finding the Fourth Proportional to 5,828.40, 8,741.35 and 1,880.01

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Solution

The fourth proportional to 5,828.40, 8,741.35 and 1,880.01 is: 2,819.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.40 : 8,741.35 = 1,880.01 : x
  2. Step 2: Convert to fraction form
    5,828.40/8,741.35 = 1,880.01/x
  3. Step 3: Cross multiply
    5,828.40x = 8,741.35 × 1,880.01
  4. Step 4: Simplify right side
    5,828.40x = 16,433,825.41
  5. Step 5: Solve for x
    x = 16,433,825.41/5,828.40
  6. Step 6: Final answer
    x = 2,819.61

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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.