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Finding the Fourth Proportional to 4,602.90, 6,354.94 and 2,835.53

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Solution

The fourth proportional to 4,602.90, 6,354.94 and 2,835.53 is: 3,914.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.90 : 6,354.94 = 2,835.53 : x
  2. Step 2: Convert to fraction form
    4,602.90/6,354.94 = 2,835.53/x
  3. Step 3: Cross multiply
    4,602.90x = 6,354.94 × 2,835.53
  4. Step 4: Simplify right side
    4,602.90x = 18,019,623.02
  5. Step 5: Solve for x
    x = 18,019,623.02/4,602.90
  6. Step 6: Final answer
    x = 3,914.84

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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.