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Finding the Fourth Proportional to 5,070.64, 6,993.12 and 3,301.60

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Solution

The fourth proportional to 5,070.64, 6,993.12 and 3,301.60 is: 4,553.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070.64 : 6,993.12 = 3,301.60 : x
  2. Step 2: Convert to fraction form
    5,070.64/6,993.12 = 3,301.60/x
  3. Step 3: Cross multiply
    5,070.64x = 6,993.12 × 3,301.60
  4. Step 4: Simplify right side
    5,070.64x = 23,088,484.99
  5. Step 5: Solve for x
    x = 23,088,484.99/5,070.64
  6. Step 6: Final answer
    x = 4,553.37

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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.