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Finding the Fourth Proportional to 5,294.20, 7,941.30 and 4,430.20

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Solution

The fourth proportional to 5,294.20, 7,941.30 and 4,430.20 is: 6,645.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.20 : 7,941.30 = 4,430.20 : x
  2. Step 2: Convert to fraction form
    5,294.20/7,941.30 = 4,430.20/x
  3. Step 3: Cross multiply
    5,294.20x = 7,941.30 × 4,430.20
  4. Step 4: Simplify right side
    5,294.20x = 35,181,547.26
  5. Step 5: Solve for x
    x = 35,181,547.26/5,294.20
  6. Step 6: Final answer
    x = 6,645.30

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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.