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Finding the Fourth Proportional to 5,099.94, 7,647.32 and 1,980.84

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Solution

The fourth proportional to 5,099.94, 7,647.32 and 1,980.84 is: 2,970.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,099.94 : 7,647.32 = 1,980.84 : x
  2. Step 2: Convert to fraction form
    5,099.94/7,647.32 = 1,980.84/x
  3. Step 3: Cross multiply
    5,099.94x = 7,647.32 × 1,980.84
  4. Step 4: Simplify right side
    5,099.94x = 15,148,117.35
  5. Step 5: Solve for x
    x = 15,148,117.35/5,099.94
  6. Step 6: Final answer
    x = 2,970.25

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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.