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Finding the Fourth Proportional to 4,051.65, 5,589.74 and 2,559

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Solution

The fourth proportional to 4,051.65, 5,589.74 and 2,559 is: 3,530.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,051.65 : 5,589.74 = 2,559 : x
  2. Step 2: Convert to fraction form
    4,051.65/5,589.74 = 2,559/x
  3. Step 3: Cross multiply
    4,051.65x = 5,589.74 × 2,559
  4. Step 4: Simplify right side
    4,051.65x = 14,304,151.06
  5. Step 5: Solve for x
    x = 14,304,151.06/4,051.65
  6. Step 6: Final answer
    x = 3,530.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.