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Finding the Fourth Proportional to 3,779.99, 5,671.01 and 1,314.95

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Solution

The fourth proportional to 3,779.99, 5,671.01 and 1,314.95 is: 1,972.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.99 : 5,671.01 = 1,314.95 : x
  2. Step 2: Convert to fraction form
    3,779.99/5,671.01 = 1,314.95/x
  3. Step 3: Cross multiply
    3,779.99x = 5,671.01 × 1,314.95
  4. Step 4: Simplify right side
    3,779.99x = 7,457,059.67
  5. Step 5: Solve for x
    x = 7,457,059.67/3,779.99
  6. Step 6: Final answer
    x = 1,972.77

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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.