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Finding the Fourth Proportional to 4,430.24, 6,114.32 and 4,294.24

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Solution

The fourth proportional to 4,430.24, 6,114.32 and 4,294.24 is: 5,926.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,430.24 : 6,114.32 = 4,294.24 : x
  2. Step 2: Convert to fraction form
    4,430.24/6,114.32 = 4,294.24/x
  3. Step 3: Cross multiply
    4,430.24x = 6,114.32 × 4,294.24
  4. Step 4: Simplify right side
    4,430.24x = 26,256,357.52
  5. Step 5: Solve for x
    x = 26,256,357.52/4,430.24
  6. Step 6: Final answer
    x = 5,926.62

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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.