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Finding the Fourth Proportional to 3,117.37, 4,302.50 and 2,977.24

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Solution

The fourth proportional to 3,117.37, 4,302.50 and 2,977.24 is: 4,109.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117.37 : 4,302.50 = 2,977.24 : x
  2. Step 2: Convert to fraction form
    3,117.37/4,302.50 = 2,977.24/x
  3. Step 3: Cross multiply
    3,117.37x = 4,302.50 × 2,977.24
  4. Step 4: Simplify right side
    3,117.37x = 12,809,553.59
  5. Step 5: Solve for x
    x = 12,809,553.59/3,117.37
  6. Step 6: Final answer
    x = 4,109.10

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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.