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Finding the Fourth Proportional to 4,897.64, 6,763.50 and 4,185.29

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Solution

The fourth proportional to 4,897.64, 6,763.50 and 4,185.29 is: 5,779.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.64 : 6,763.50 = 4,185.29 : x
  2. Step 2: Convert to fraction form
    4,897.64/6,763.50 = 4,185.29/x
  3. Step 3: Cross multiply
    4,897.64x = 6,763.50 × 4,185.29
  4. Step 4: Simplify right side
    4,897.64x = 28,307,175.10
  5. Step 5: Solve for x
    x = 28,307,175.10/4,897.64
  6. Step 6: Final answer
    x = 5,779.76

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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.