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Finding the Fourth Proportional to 5,055.77, 7,583.69 and 1,893.93

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Solution

The fourth proportional to 5,055.77, 7,583.69 and 1,893.93 is: 2,840.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,055.77 : 7,583.69 = 1,893.93 : x
  2. Step 2: Convert to fraction form
    5,055.77/7,583.69 = 1,893.93/x
  3. Step 3: Cross multiply
    5,055.77x = 7,583.69 × 1,893.93
  4. Step 4: Simplify right side
    5,055.77x = 14,362,968.53
  5. Step 5: Solve for x
    x = 14,362,968.53/5,055.77
  6. Step 6: Final answer
    x = 2,840.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.