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Finding the Fourth Proportional to 5,346.37, 7,377.69 and 3,358

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Solution

The fourth proportional to 5,346.37, 7,377.69 and 3,358 is: 4,633.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346.37 : 7,377.69 = 3,358 : x
  2. Step 2: Convert to fraction form
    5,346.37/7,377.69 = 3,358/x
  3. Step 3: Cross multiply
    5,346.37x = 7,377.69 × 3,358
  4. Step 4: Simplify right side
    5,346.37x = 24,774,283.02
  5. Step 5: Solve for x
    x = 24,774,283.02/5,346.37
  6. Step 6: Final answer
    x = 4,633.85

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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.