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Finding the Fourth Proportional to 4,542.56, 6,810.15 and 1,420.95

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Solution

The fourth proportional to 4,542.56, 6,810.15 and 1,420.95 is: 2,130.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,542.56 : 6,810.15 = 1,420.95 : x
  2. Step 2: Convert to fraction form
    4,542.56/6,810.15 = 1,420.95/x
  3. Step 3: Cross multiply
    4,542.56x = 6,810.15 × 1,420.95
  4. Step 4: Simplify right side
    4,542.56x = 9,676,882.64
  5. Step 5: Solve for x
    x = 9,676,882.64/4,542.56
  6. Step 6: Final answer
    x = 2,130.27

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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.