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Finding the Fourth Proportional to 4,709.52, 6,497.40 and 2,821.14

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Solution

The fourth proportional to 4,709.52, 6,497.40 and 2,821.14 is: 3,892.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.52 : 6,497.40 = 2,821.14 : x
  2. Step 2: Convert to fraction form
    4,709.52/6,497.40 = 2,821.14/x
  3. Step 3: Cross multiply
    4,709.52x = 6,497.40 × 2,821.14
  4. Step 4: Simplify right side
    4,709.52x = 18,330,075.04
  5. Step 5: Solve for x
    x = 18,330,075.04/4,709.52
  6. Step 6: Final answer
    x = 3,892.13

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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.