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Finding the Fourth Proportional to 4,835.40, 6,672.12 and 2,946

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Solution

The fourth proportional to 4,835.40, 6,672.12 and 2,946 is: 4,065.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,835.40 : 6,672.12 = 2,946 : x
  2. Step 2: Convert to fraction form
    4,835.40/6,672.12 = 2,946/x
  3. Step 3: Cross multiply
    4,835.40x = 6,672.12 × 2,946
  4. Step 4: Simplify right side
    4,835.40x = 19,656,065.52
  5. Step 5: Solve for x
    x = 19,656,065.52/4,835.40
  6. Step 6: Final answer
    x = 4,065.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.