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Finding the Fourth Proportional to 4,830.84, 6,664.14 and 3,155.22

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Solution

The fourth proportional to 4,830.84, 6,664.14 and 3,155.22 is: 4,352.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,830.84 : 6,664.14 = 3,155.22 : x
  2. Step 2: Convert to fraction form
    4,830.84/6,664.14 = 3,155.22/x
  3. Step 3: Cross multiply
    4,830.84x = 6,664.14 × 3,155.22
  4. Step 4: Simplify right side
    4,830.84x = 21,026,827.81
  5. Step 5: Solve for x
    x = 21,026,827.81/4,830.84
  6. Step 6: Final answer
    x = 4,352.62

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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.