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Finding the Fourth Proportional to 5,038.49, 7,557.71 and 1,917.77

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Solution

The fourth proportional to 5,038.49, 7,557.71 and 1,917.77 is: 2,876.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038.49 : 7,557.71 = 1,917.77 : x
  2. Step 2: Convert to fraction form
    5,038.49/7,557.71 = 1,917.77/x
  3. Step 3: Cross multiply
    5,038.49x = 7,557.71 × 1,917.77
  4. Step 4: Simplify right side
    5,038.49x = 14,493,911.72
  5. Step 5: Solve for x
    x = 14,493,911.72/5,038.49
  6. Step 6: Final answer
    x = 2,876.64

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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.