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Finding the Fourth Proportional to 3,830.68, 5,740.62 and 3,047.20

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Solution

The fourth proportional to 3,830.68, 5,740.62 and 3,047.20 is: 4,566.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.68 : 5,740.62 = 3,047.20 : x
  2. Step 2: Convert to fraction form
    3,830.68/5,740.62 = 3,047.20/x
  3. Step 3: Cross multiply
    3,830.68x = 5,740.62 × 3,047.20
  4. Step 4: Simplify right side
    3,830.68x = 17,492,840.92
  5. Step 5: Solve for x
    x = 17,492,840.92/3,830.68
  6. Step 6: Final answer
    x = 4,566.52

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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.