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Finding the Fourth Proportional to 4,830.02, 6,665.14 and 2,705.20

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Solution

The fourth proportional to 4,830.02, 6,665.14 and 2,705.20 is: 3,733.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,830.02 : 6,665.14 = 2,705.20 : x
  2. Step 2: Convert to fraction form
    4,830.02/6,665.14 = 2,705.20/x
  3. Step 3: Cross multiply
    4,830.02x = 6,665.14 × 2,705.20
  4. Step 4: Simplify right side
    4,830.02x = 18,030,536.73
  5. Step 5: Solve for x
    x = 18,030,536.73/4,830.02
  6. Step 6: Final answer
    x = 3,733.01

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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.