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Finding the Fourth Proportional to 4,666.01, 6,438.79 and 2,570.13

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Solution

The fourth proportional to 4,666.01, 6,438.79 and 2,570.13 is: 3,546.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.01 : 6,438.79 = 2,570.13 : x
  2. Step 2: Convert to fraction form
    4,666.01/6,438.79 = 2,570.13/x
  3. Step 3: Cross multiply
    4,666.01x = 6,438.79 × 2,570.13
  4. Step 4: Simplify right side
    4,666.01x = 16,548,527.34
  5. Step 5: Solve for x
    x = 16,548,527.34/4,666.01
  6. Step 6: Final answer
    x = 3,546.61

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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.