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Finding the Fourth Proportional to 5,103.56, 7,041.71 and 2,977.82

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Solution

The fourth proportional to 5,103.56, 7,041.71 and 2,977.82 is: 4,108.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.56 : 7,041.71 = 2,977.82 : x
  2. Step 2: Convert to fraction form
    5,103.56/7,041.71 = 2,977.82/x
  3. Step 3: Cross multiply
    5,103.56x = 7,041.71 × 2,977.82
  4. Step 4: Simplify right side
    5,103.56x = 20,968,894.77
  5. Step 5: Solve for x
    x = 20,968,894.77/5,103.56
  6. Step 6: Final answer
    x = 4,108.68

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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.