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Finding the Fourth Proportional to 5,038.78, 7,558.19 and 1,340.83

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Solution

The fourth proportional to 5,038.78, 7,558.19 and 1,340.83 is: 2,011.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038.78 : 7,558.19 = 1,340.83 : x
  2. Step 2: Convert to fraction form
    5,038.78/7,558.19 = 1,340.83/x
  3. Step 3: Cross multiply
    5,038.78x = 7,558.19 × 1,340.83
  4. Step 4: Simplify right side
    5,038.78x = 10,134,230.64
  5. Step 5: Solve for x
    x = 10,134,230.64/5,038.78
  6. Step 6: Final answer
    x = 2,011.25

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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.