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Finding the Fourth Proportional to 4,922.34, 7,338.72 and 4,368.30

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Solution

The fourth proportional to 4,922.34, 7,338.72 and 4,368.30 is: 6,512.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,922.34 : 7,338.72 = 4,368.30 : x
  2. Step 2: Convert to fraction form
    4,922.34/7,338.72 = 4,368.30/x
  3. Step 3: Cross multiply
    4,922.34x = 7,338.72 × 4,368.30
  4. Step 4: Simplify right side
    4,922.34x = 32,057,730.58
  5. Step 5: Solve for x
    x = 32,057,730.58/4,922.34
  6. Step 6: Final answer
    x = 6,512.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.