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Finding the Fourth Proportional to 3,648.54, 5,037.40 and 2,807.76

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Solution

The fourth proportional to 3,648.54, 5,037.40 and 2,807.76 is: 3,876.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.54 : 5,037.40 = 2,807.76 : x
  2. Step 2: Convert to fraction form
    3,648.54/5,037.40 = 2,807.76/x
  3. Step 3: Cross multiply
    3,648.54x = 5,037.40 × 2,807.76
  4. Step 4: Simplify right side
    3,648.54x = 14,143,810.22
  5. Step 5: Solve for x
    x = 14,143,810.22/3,648.54
  6. Step 6: Final answer
    x = 3,876.57

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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.