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Finding the Fourth Proportional to 6,485.64, 8,950.40 and 3,653.06

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Solution

The fourth proportional to 6,485.64, 8,950.40 and 3,653.06 is: 5,041.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.64 : 8,950.40 = 3,653.06 : x
  2. Step 2: Convert to fraction form
    6,485.64/8,950.40 = 3,653.06/x
  3. Step 3: Cross multiply
    6,485.64x = 8,950.40 × 3,653.06
  4. Step 4: Simplify right side
    6,485.64x = 32,696,348.22
  5. Step 5: Solve for x
    x = 32,696,348.22/6,485.64
  6. Step 6: Final answer
    x = 5,041.34

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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.