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Finding the Fourth Proportional to 5,346, 7,374.92 and 3,355.56

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Solution

The fourth proportional to 5,346, 7,374.92 and 3,355.56 is: 4,629.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,346 : 7,374.92 = 3,355.56 : x
  2. Step 2: Convert to fraction form
    5,346/7,374.92 = 3,355.56/x
  3. Step 3: Cross multiply
    5,346x = 7,374.92 × 3,355.56
  4. Step 4: Simplify right side
    5,346x = 24,746,986.56
  5. Step 5: Solve for x
    x = 24,746,986.56/5,346
  6. Step 6: Final answer
    x = 4,629.07

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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.