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Finding the Fourth Proportional to 7,051.59, 10,582.25 and 2,434.59

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Solution

The fourth proportional to 7,051.59, 10,582.25 and 2,434.59 is: 3,653.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051.59 : 10,582.25 = 2,434.59 : x
  2. Step 2: Convert to fraction form
    7,051.59/10,582.25 = 2,434.59/x
  3. Step 3: Cross multiply
    7,051.59x = 10,582.25 × 2,434.59
  4. Step 4: Simplify right side
    7,051.59x = 25,763,485.80
  5. Step 5: Solve for x
    x = 25,763,485.80/7,051.59
  6. Step 6: Final answer
    x = 3,653.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.