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Finding the Fourth Proportional to 4,601.80, 6,384.19 and 4,407.40

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Solution

The fourth proportional to 4,601.80, 6,384.19 and 4,407.40 is: 6,114.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,601.80 : 6,384.19 = 4,407.40 : x
  2. Step 2: Convert to fraction form
    4,601.80/6,384.19 = 4,407.40/x
  3. Step 3: Cross multiply
    4,601.80x = 6,384.19 × 4,407.40
  4. Step 4: Simplify right side
    4,601.80x = 28,137,679.01
  5. Step 5: Solve for x
    x = 28,137,679.01/4,601.80
  6. Step 6: Final answer
    x = 6,114.49

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.