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Finding the Fourth Proportional to 4,307.63, 6,460.03 and 1,674.95

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Solution

The fourth proportional to 4,307.63, 6,460.03 and 1,674.95 is: 2,511.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307.63 : 6,460.03 = 1,674.95 : x
  2. Step 2: Convert to fraction form
    4,307.63/6,460.03 = 1,674.95/x
  3. Step 3: Cross multiply
    4,307.63x = 6,460.03 × 1,674.95
  4. Step 4: Simplify right side
    4,307.63x = 10,820,218.87
  5. Step 5: Solve for x
    x = 10,820,218.87/4,307.63
  6. Step 6: Final answer
    x = 2,511.87

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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.