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Finding the Fourth Proportional to 5,509.84, 8,250.28 and 4,630.16

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Solution

The fourth proportional to 5,509.84, 8,250.28 and 4,630.16 is: 6,933.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,509.84 : 8,250.28 = 4,630.16 : x
  2. Step 2: Convert to fraction form
    5,509.84/8,250.28 = 4,630.16/x
  3. Step 3: Cross multiply
    5,509.84x = 8,250.28 × 4,630.16
  4. Step 4: Simplify right side
    5,509.84x = 38,200,116.44
  5. Step 5: Solve for x
    x = 38,200,116.44/5,509.84
  6. Step 6: Final answer
    x = 6,933.07

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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.