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Finding the Fourth Proportional to 5,140.45, 7,710.99 and 1,442.98

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Solution

The fourth proportional to 5,140.45, 7,710.99 and 1,442.98 is: 2,164.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140.45 : 7,710.99 = 1,442.98 : x
  2. Step 2: Convert to fraction form
    5,140.45/7,710.99 = 1,442.98/x
  3. Step 3: Cross multiply
    5,140.45x = 7,710.99 × 1,442.98
  4. Step 4: Simplify right side
    5,140.45x = 11,126,804.35
  5. Step 5: Solve for x
    x = 11,126,804.35/5,140.45
  6. Step 6: Final answer
    x = 2,164.56

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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.