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Finding the Fourth Proportional to 4,819.16, 7,228.64 and 1,532.26

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Solution

The fourth proportional to 4,819.16, 7,228.64 and 1,532.26 is: 2,298.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,819.16 : 7,228.64 = 1,532.26 : x
  2. Step 2: Convert to fraction form
    4,819.16/7,228.64 = 1,532.26/x
  3. Step 3: Cross multiply
    4,819.16x = 7,228.64 × 1,532.26
  4. Step 4: Simplify right side
    4,819.16x = 11,076,155.93
  5. Step 5: Solve for x
    x = 11,076,155.93/4,819.16
  6. Step 6: Final answer
    x = 2,298.36

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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.