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Finding the Fourth Proportional to 4,887.64, 7,331.22 and 1,602.28

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Solution

The fourth proportional to 4,887.64, 7,331.22 and 1,602.28 is: 2,403.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,887.64 : 7,331.22 = 1,602.28 : x
  2. Step 2: Convert to fraction form
    4,887.64/7,331.22 = 1,602.28/x
  3. Step 3: Cross multiply
    4,887.64x = 7,331.22 × 1,602.28
  4. Step 4: Simplify right side
    4,887.64x = 11,746,667.18
  5. Step 5: Solve for x
    x = 11,746,667.18/4,887.64
  6. Step 6: Final answer
    x = 2,403.34

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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.