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Finding the Fourth Proportional to 4,745.99, 7,116.32 and 1,970.80

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Solution

The fourth proportional to 4,745.99, 7,116.32 and 1,970.80 is: 2,955.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.99 : 7,116.32 = 1,970.80 : x
  2. Step 2: Convert to fraction form
    4,745.99/7,116.32 = 1,970.80/x
  3. Step 3: Cross multiply
    4,745.99x = 7,116.32 × 1,970.80
  4. Step 4: Simplify right side
    4,745.99x = 14,024,830.59
  5. Step 5: Solve for x
    x = 14,024,830.59/4,745.99
  6. Step 6: Final answer
    x = 2,955.09

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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.