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Finding the Fourth Proportional to 5,405.72, 7,460.15 and 3,047.87

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Solution

The fourth proportional to 5,405.72, 7,460.15 and 3,047.87 is: 4,206.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.72 : 7,460.15 = 3,047.87 : x
  2. Step 2: Convert to fraction form
    5,405.72/7,460.15 = 3,047.87/x
  3. Step 3: Cross multiply
    5,405.72x = 7,460.15 × 3,047.87
  4. Step 4: Simplify right side
    5,405.72x = 22,737,514.84
  5. Step 5: Solve for x
    x = 22,737,514.84/5,405.72
  6. Step 6: Final answer
    x = 4,206.20

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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.