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Finding the Fourth Proportional to 4,573.68, 6,812.34 and 4,477.68

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Solution

The fourth proportional to 4,573.68, 6,812.34 and 4,477.68 is: 6,669.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,573.68 : 6,812.34 = 4,477.68 : x
  2. Step 2: Convert to fraction form
    4,573.68/6,812.34 = 4,477.68/x
  3. Step 3: Cross multiply
    4,573.68x = 6,812.34 × 4,477.68
  4. Step 4: Simplify right side
    4,573.68x = 30,503,478.57
  5. Step 5: Solve for x
    x = 30,503,478.57/4,573.68
  6. Step 6: Final answer
    x = 6,669.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.