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Finding the Fourth Proportional to 7,051.58, 10,578.57 and 2,433.50

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Solution

The fourth proportional to 7,051.58, 10,578.57 and 2,433.50 is: 3,650.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,051.58 : 10,578.57 = 2,433.50 : x
  2. Step 2: Convert to fraction form
    7,051.58/10,578.57 = 2,433.50/x
  3. Step 3: Cross multiply
    7,051.58x = 10,578.57 × 2,433.50
  4. Step 4: Simplify right side
    7,051.58x = 25,742,950.10
  5. Step 5: Solve for x
    x = 25,742,950.10/7,051.58
  6. Step 6: Final answer
    x = 3,650.66

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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.