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Finding the Fourth Proportional to 4,602.90, 6,354.14 and 2,713.85

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Solution

The fourth proportional to 4,602.90, 6,354.14 and 2,713.85 is: 3,746.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,602.90 : 6,354.14 = 2,713.85 : x
  2. Step 2: Convert to fraction form
    4,602.90/6,354.14 = 2,713.85/x
  3. Step 3: Cross multiply
    4,602.90x = 6,354.14 × 2,713.85
  4. Step 4: Simplify right side
    4,602.90x = 17,244,182.84
  5. Step 5: Solve for x
    x = 17,244,182.84/4,602.90
  6. Step 6: Final answer
    x = 3,746.37

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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.