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Finding the Fourth Proportional to 4,402, 6,075.12 and 2,514.16

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Solution

The fourth proportional to 4,402, 6,075.12 and 2,514.16 is: 3,469.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,402 : 6,075.12 = 2,514.16 : x
  2. Step 2: Convert to fraction form
    4,402/6,075.12 = 2,514.16/x
  3. Step 3: Cross multiply
    4,402x = 6,075.12 × 2,514.16
  4. Step 4: Simplify right side
    4,402x = 15,273,823.70
  5. Step 5: Solve for x
    x = 15,273,823.70/4,402
  6. Step 6: Final answer
    x = 3,469.75

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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.