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Finding the Fourth Proportional to 6,466.79, 8,924.04 and 3,815.06

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Solution

The fourth proportional to 6,466.79, 8,924.04 and 3,815.06 is: 5,264.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.79 : 8,924.04 = 3,815.06 : x
  2. Step 2: Convert to fraction form
    6,466.79/8,924.04 = 3,815.06/x
  3. Step 3: Cross multiply
    6,466.79x = 8,924.04 × 3,815.06
  4. Step 4: Simplify right side
    6,466.79x = 34,045,703.42
  5. Step 5: Solve for x
    x = 34,045,703.42/6,466.79
  6. Step 6: Final answer
    x = 5,264.70

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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.