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Finding the Fourth Proportional to 4,868.90, 7,306.35 and 1,946.90

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Solution

The fourth proportional to 4,868.90, 7,306.35 and 1,946.90 is: 2,921.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,868.90 : 7,306.35 = 1,946.90 : x
  2. Step 2: Convert to fraction form
    4,868.90/7,306.35 = 1,946.90/x
  3. Step 3: Cross multiply
    4,868.90x = 7,306.35 × 1,946.90
  4. Step 4: Simplify right side
    4,868.90x = 14,224,732.82
  5. Step 5: Solve for x
    x = 14,224,732.82/4,868.90
  6. Step 6: Final answer
    x = 2,921.55

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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.