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Finding the Fourth Proportional to 3,737.63, 5,156.64 and 2,300.52

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Solution

The fourth proportional to 3,737.63, 5,156.64 and 2,300.52 is: 3,173.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.63 : 5,156.64 = 2,300.52 : x
  2. Step 2: Convert to fraction form
    3,737.63/5,156.64 = 2,300.52/x
  3. Step 3: Cross multiply
    3,737.63x = 5,156.64 × 2,300.52
  4. Step 4: Simplify right side
    3,737.63x = 11,862,953.45
  5. Step 5: Solve for x
    x = 11,862,953.45/3,737.63
  6. Step 6: Final answer
    x = 3,173.92

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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.