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Finding the Fourth Proportional to 4,626.34, 6,389.01 and 2,948.54

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Solution

The fourth proportional to 4,626.34, 6,389.01 and 2,948.54 is: 4,071.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,626.34 : 6,389.01 = 2,948.54 : x
  2. Step 2: Convert to fraction form
    4,626.34/6,389.01 = 2,948.54/x
  3. Step 3: Cross multiply
    4,626.34x = 6,389.01 × 2,948.54
  4. Step 4: Simplify right side
    4,626.34x = 18,838,219.60
  5. Step 5: Solve for x
    x = 18,838,219.60/4,626.34
  6. Step 6: Final answer
    x = 4,071.95

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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.