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Finding the Fourth Proportional to 4,642.85, 6,948 and 3,328.05

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Solution

The fourth proportional to 4,642.85, 6,948 and 3,328.05 is: 4,980.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.85 : 6,948 = 3,328.05 : x
  2. Step 2: Convert to fraction form
    4,642.85/6,948 = 3,328.05/x
  3. Step 3: Cross multiply
    4,642.85x = 6,948 × 3,328.05
  4. Step 4: Simplify right side
    4,642.85x = 23,123,291.40
  5. Step 5: Solve for x
    x = 23,123,291.40/4,642.85
  6. Step 6: Final answer
    x = 4,980.41

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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.