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Finding the Fourth Proportional to 4,709.57, 7,059.57 and 2,078.50

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Solution

The fourth proportional to 4,709.57, 7,059.57 and 2,078.50 is: 3,115.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.57 : 7,059.57 = 2,078.50 : x
  2. Step 2: Convert to fraction form
    4,709.57/7,059.57 = 2,078.50/x
  3. Step 3: Cross multiply
    4,709.57x = 7,059.57 × 2,078.50
  4. Step 4: Simplify right side
    4,709.57x = 14,673,341.71
  5. Step 5: Solve for x
    x = 14,673,341.71/4,709.57
  6. Step 6: Final answer
    x = 3,115.65

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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.