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Finding the Fourth Proportional to 4,778.01, 7,166.87 and 1,315.23

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Solution

The fourth proportional to 4,778.01, 7,166.87 and 1,315.23 is: 1,972.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778.01 : 7,166.87 = 1,315.23 : x
  2. Step 2: Convert to fraction form
    4,778.01/7,166.87 = 1,315.23/x
  3. Step 3: Cross multiply
    4,778.01x = 7,166.87 × 1,315.23
  4. Step 4: Simplify right side
    4,778.01x = 9,426,075.85
  5. Step 5: Solve for x
    x = 9,426,075.85/4,778.01
  6. Step 6: Final answer
    x = 1,972.80

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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.