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Finding the Fourth Proportional to 4,956.54, 6,838.32 and 2,830.53

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Solution

The fourth proportional to 4,956.54, 6,838.32 and 2,830.53 is: 3,905.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,956.54 : 6,838.32 = 2,830.53 : x
  2. Step 2: Convert to fraction form
    4,956.54/6,838.32 = 2,830.53/x
  3. Step 3: Cross multiply
    4,956.54x = 6,838.32 × 2,830.53
  4. Step 4: Simplify right side
    4,956.54x = 19,356,069.91
  5. Step 5: Solve for x
    x = 19,356,069.91/4,956.54
  6. Step 6: Final answer
    x = 3,905.16

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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.