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Finding the Fourth Proportional to 5,117.93, 7,676.73 and 1,420.39

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Solution

The fourth proportional to 5,117.93, 7,676.73 and 1,420.39 is: 2,130.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,117.93 : 7,676.73 = 1,420.39 : x
  2. Step 2: Convert to fraction form
    5,117.93/7,676.73 = 1,420.39/x
  3. Step 3: Cross multiply
    5,117.93x = 7,676.73 × 1,420.39
  4. Step 4: Simplify right side
    5,117.93x = 10,903,950.52
  5. Step 5: Solve for x
    x = 10,903,950.52/5,117.93
  6. Step 6: Final answer
    x = 2,130.54

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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.