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Finding the Fourth Proportional to 4,102.19, 6,152.99 and 2,455.06

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Solution

The fourth proportional to 4,102.19, 6,152.99 and 2,455.06 is: 3,682.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102.19 : 6,152.99 = 2,455.06 : x
  2. Step 2: Convert to fraction form
    4,102.19/6,152.99 = 2,455.06/x
  3. Step 3: Cross multiply
    4,102.19x = 6,152.99 × 2,455.06
  4. Step 4: Simplify right side
    4,102.19x = 15,105,931.97
  5. Step 5: Solve for x
    x = 15,105,931.97/4,102.19
  6. Step 6: Final answer
    x = 3,682.40

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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.