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Finding the Fourth Proportional to 5,407.72, 7,456.96 and 4,271.50

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Solution

The fourth proportional to 5,407.72, 7,456.96 and 4,271.50 is: 5,890.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.72 : 7,456.96 = 4,271.50 : x
  2. Step 2: Convert to fraction form
    5,407.72/7,456.96 = 4,271.50/x
  3. Step 3: Cross multiply
    5,407.72x = 7,456.96 × 4,271.50
  4. Step 4: Simplify right side
    5,407.72x = 31,852,419.30
  5. Step 5: Solve for x
    x = 31,852,419.30/5,407.72
  6. Step 6: Final answer
    x = 5,890.18

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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.