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Finding the Fourth Proportional to 5,265.23, 7,267.16 and 3,590.64

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Solution

The fourth proportional to 5,265.23, 7,267.16 and 3,590.64 is: 4,955.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265.23 : 7,267.16 = 3,590.64 : x
  2. Step 2: Convert to fraction form
    5,265.23/7,267.16 = 3,590.64/x
  3. Step 3: Cross multiply
    5,265.23x = 7,267.16 × 3,590.64
  4. Step 4: Simplify right side
    5,265.23x = 26,093,701.09
  5. Step 5: Solve for x
    x = 26,093,701.09/5,265.23
  6. Step 6: Final answer
    x = 4,955.85

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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.