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Finding the Fourth Proportional to 4,530.40, 6,256.22 and 4,284.96

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Solution

The fourth proportional to 4,530.40, 6,256.22 and 4,284.96 is: 5,917.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,530.40 : 6,256.22 = 4,284.96 : x
  2. Step 2: Convert to fraction form
    4,530.40/6,256.22 = 4,284.96/x
  3. Step 3: Cross multiply
    4,530.40x = 6,256.22 × 4,284.96
  4. Step 4: Simplify right side
    4,530.40x = 26,807,652.45
  5. Step 5: Solve for x
    x = 26,807,652.45/4,530.40
  6. Step 6: Final answer
    x = 5,917.28

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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.