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Finding the Fourth Proportional to 5,341.37, 8,013.19 and 1,830.44

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Solution

The fourth proportional to 5,341.37, 8,013.19 and 1,830.44 is: 2,746.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,341.37 : 8,013.19 = 1,830.44 : x
  2. Step 2: Convert to fraction form
    5,341.37/8,013.19 = 1,830.44/x
  3. Step 3: Cross multiply
    5,341.37x = 8,013.19 × 1,830.44
  4. Step 4: Simplify right side
    5,341.37x = 14,667,663.50
  5. Step 5: Solve for x
    x = 14,667,663.50/5,341.37
  6. Step 6: Final answer
    x = 2,746.05

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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.