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Finding the Fourth Proportional to 4,055.99, 6,084 and 1,715.40

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Solution

The fourth proportional to 4,055.99, 6,084 and 1,715.40 is: 2,573.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,055.99 : 6,084 = 1,715.40 : x
  2. Step 2: Convert to fraction form
    4,055.99/6,084 = 1,715.40/x
  3. Step 3: Cross multiply
    4,055.99x = 6,084 × 1,715.40
  4. Step 4: Simplify right side
    4,055.99x = 10,436,493.60
  5. Step 5: Solve for x
    x = 10,436,493.60/4,055.99
  6. Step 6: Final answer
    x = 2,573.11

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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.