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Finding the Fourth Proportional to 4,605.69, 6,353.84 and 3,113.07

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Solution

The fourth proportional to 4,605.69, 6,353.84 and 3,113.07 is: 4,294.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,605.69 : 6,353.84 = 3,113.07 : x
  2. Step 2: Convert to fraction form
    4,605.69/6,353.84 = 3,113.07/x
  3. Step 3: Cross multiply
    4,605.69x = 6,353.84 × 3,113.07
  4. Step 4: Simplify right side
    4,605.69x = 19,779,933.12
  5. Step 5: Solve for x
    x = 19,779,933.12/4,605.69
  6. Step 6: Final answer
    x = 4,294.67

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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.