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Finding the Fourth Proportional to 5,390.69, 8,085.98 and 2,106.07

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Solution

The fourth proportional to 5,390.69, 8,085.98 and 2,106.07 is: 3,159.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,390.69 : 8,085.98 = 2,106.07 : x
  2. Step 2: Convert to fraction form
    5,390.69/8,085.98 = 2,106.07/x
  3. Step 3: Cross multiply
    5,390.69x = 8,085.98 × 2,106.07
  4. Step 4: Simplify right side
    5,390.69x = 17,029,624.95
  5. Step 5: Solve for x
    x = 17,029,624.95/5,390.69
  6. Step 6: Final answer
    x = 3,159.08

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