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Finding the Fourth Proportional to 4,954.80, 7,428.84 and 2,358

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Solution

The fourth proportional to 4,954.80, 7,428.84 and 2,358 is: 3,535.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,954.80 : 7,428.84 = 2,358 : x
  2. Step 2: Convert to fraction form
    4,954.80/7,428.84 = 2,358/x
  3. Step 3: Cross multiply
    4,954.80x = 7,428.84 × 2,358
  4. Step 4: Simplify right side
    4,954.80x = 17,517,204.72
  5. Step 5: Solve for x
    x = 17,517,204.72/4,954.80
  6. Step 6: Final answer
    x = 3,535.40

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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.