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Finding the Fourth Proportional to 4,666.08, 6,437.16 and 2,802

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Solution

The fourth proportional to 4,666.08, 6,437.16 and 2,802 is: 3,865.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.08 : 6,437.16 = 2,802 : x
  2. Step 2: Convert to fraction form
    4,666.08/6,437.16 = 2,802/x
  3. Step 3: Cross multiply
    4,666.08x = 6,437.16 × 2,802
  4. Step 4: Simplify right side
    4,666.08x = 18,036,922.32
  5. Step 5: Solve for x
    x = 18,036,922.32/4,666.08
  6. Step 6: Final answer
    x = 3,865.54

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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.