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Finding the Fourth Proportional to 4,829.42, 7,240.02 and 4,599.78

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Solution

The fourth proportional to 4,829.42, 7,240.02 and 4,599.78 is: 6,895.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,829.42 : 7,240.02 = 4,599.78 : x
  2. Step 2: Convert to fraction form
    4,829.42/7,240.02 = 4,599.78/x
  3. Step 3: Cross multiply
    4,829.42x = 7,240.02 × 4,599.78
  4. Step 4: Simplify right side
    4,829.42x = 33,302,499.20
  5. Step 5: Solve for x
    x = 33,302,499.20/4,829.42
  6. Step 6: Final answer
    x = 6,895.76

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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.