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Finding the Fourth Proportional to 4,663.94, 7,002.78 and 3,113.60

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Solution

The fourth proportional to 4,663.94, 7,002.78 and 3,113.60 is: 4,674.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,663.94 : 7,002.78 = 3,113.60 : x
  2. Step 2: Convert to fraction form
    4,663.94/7,002.78 = 3,113.60/x
  3. Step 3: Cross multiply
    4,663.94x = 7,002.78 × 3,113.60
  4. Step 4: Simplify right side
    4,663.94x = 21,803,855.81
  5. Step 5: Solve for x
    x = 21,803,855.81/4,663.94
  6. Step 6: Final answer
    x = 4,674.99

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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.