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Finding the Fourth Proportional to 5,430.72, 8,143.02 and 1,732.08

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Solution

The fourth proportional to 5,430.72, 8,143.02 and 1,732.08 is: 2,597.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,430.72 : 8,143.02 = 1,732.08 : x
  2. Step 2: Convert to fraction form
    5,430.72/8,143.02 = 1,732.08/x
  3. Step 3: Cross multiply
    5,430.72x = 8,143.02 × 1,732.08
  4. Step 4: Simplify right side
    5,430.72x = 14,104,362.08
  5. Step 5: Solve for x
    x = 14,104,362.08/5,430.72
  6. Step 6: Final answer
    x = 2,597.14

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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.