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Finding the Fourth Proportional to 3,096.47, 4,271.74 and 1,837.58

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Solution

The fourth proportional to 3,096.47, 4,271.74 and 1,837.58 is: 2,535.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,096.47 : 4,271.74 = 1,837.58 : x
  2. Step 2: Convert to fraction form
    3,096.47/4,271.74 = 1,837.58/x
  3. Step 3: Cross multiply
    3,096.47x = 4,271.74 × 1,837.58
  4. Step 4: Simplify right side
    3,096.47x = 7,849,642.63
  5. Step 5: Solve for x
    x = 7,849,642.63/3,096.47
  6. Step 6: Final answer
    x = 2,535.03

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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.