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Finding the Fourth Proportional to 4,971.17, 7,460.16 and 2,049.45

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Solution

The fourth proportional to 4,971.17, 7,460.16 and 2,049.45 is: 3,075.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971.17 : 7,460.16 = 2,049.45 : x
  2. Step 2: Convert to fraction form
    4,971.17/7,460.16 = 2,049.45/x
  3. Step 3: Cross multiply
    4,971.17x = 7,460.16 × 2,049.45
  4. Step 4: Simplify right side
    4,971.17x = 15,289,224.91
  5. Step 5: Solve for x
    x = 15,289,224.91/4,971.17
  6. Step 6: Final answer
    x = 3,075.58

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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.