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Finding the Fourth Proportional to 6,047.54, 8,345.30 and 3,658.10

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Solution

The fourth proportional to 6,047.54, 8,345.30 and 3,658.10 is: 5,047.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,047.54 : 8,345.30 = 3,658.10 : x
  2. Step 2: Convert to fraction form
    6,047.54/8,345.30 = 3,658.10/x
  3. Step 3: Cross multiply
    6,047.54x = 8,345.30 × 3,658.10
  4. Step 4: Simplify right side
    6,047.54x = 30,527,941.93
  5. Step 5: Solve for x
    x = 30,527,941.93/6,047.54
  6. Step 6: Final answer
    x = 5,047.99

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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.