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Finding the Fourth Proportional to 3,607.14, 4,977.84 and 2,013.92

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Solution

The fourth proportional to 3,607.14, 4,977.84 and 2,013.92 is: 2,779.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.14 : 4,977.84 = 2,013.92 : x
  2. Step 2: Convert to fraction form
    3,607.14/4,977.84 = 2,013.92/x
  3. Step 3: Cross multiply
    3,607.14x = 4,977.84 × 2,013.92
  4. Step 4: Simplify right side
    3,607.14x = 10,024,971.53
  5. Step 5: Solve for x
    x = 10,024,971.53/3,607.14
  6. Step 6: Final answer
    x = 2,779.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.