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Finding the Fourth Proportional to 5,420.74, 8,130.51 and 3,676.93

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Solution

The fourth proportional to 5,420.74, 8,130.51 and 3,676.93 is: 5,514.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,420.74 : 8,130.51 = 3,676.93 : x
  2. Step 2: Convert to fraction form
    5,420.74/8,130.51 = 3,676.93/x
  3. Step 3: Cross multiply
    5,420.74x = 8,130.51 × 3,676.93
  4. Step 4: Simplify right side
    5,420.74x = 29,895,316.13
  5. Step 5: Solve for x
    x = 29,895,316.13/5,420.74
  6. Step 6: Final answer
    x = 5,514.99

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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.