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Finding the Fourth Proportional to 5,050.23, 6,970.23 and 4,209.59

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Solution

The fourth proportional to 5,050.23, 6,970.23 and 4,209.59 is: 5,809.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,050.23 : 6,970.23 = 4,209.59 : x
  2. Step 2: Convert to fraction form
    5,050.23/6,970.23 = 4,209.59/x
  3. Step 3: Cross multiply
    5,050.23x = 6,970.23 × 4,209.59
  4. Step 4: Simplify right side
    5,050.23x = 29,341,775.65
  5. Step 5: Solve for x
    x = 29,341,775.65/5,050.23
  6. Step 6: Final answer
    x = 5,809.99

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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.