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Finding the Fourth Proportional to 5,355.10, 8,030.76 and 1,605.76

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Solution

The fourth proportional to 5,355.10, 8,030.76 and 1,605.76 is: 2,408.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,355.10 : 8,030.76 = 1,605.76 : x
  2. Step 2: Convert to fraction form
    5,355.10/8,030.76 = 1,605.76/x
  3. Step 3: Cross multiply
    5,355.10x = 8,030.76 × 1,605.76
  4. Step 4: Simplify right side
    5,355.10x = 12,895,456.11
  5. Step 5: Solve for x
    x = 12,895,456.11/5,355.10
  6. Step 6: Final answer
    x = 2,408.07

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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.