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Finding the Fourth Proportional to 3,920.93, 5,878.74 and 2,070.08

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Solution

The fourth proportional to 3,920.93, 5,878.74 and 2,070.08 is: 3,103.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.93 : 5,878.74 = 2,070.08 : x
  2. Step 2: Convert to fraction form
    3,920.93/5,878.74 = 2,070.08/x
  3. Step 3: Cross multiply
    3,920.93x = 5,878.74 × 2,070.08
  4. Step 4: Simplify right side
    3,920.93x = 12,169,462.10
  5. Step 5: Solve for x
    x = 12,169,462.10/3,920.93
  6. Step 6: Final answer
    x = 3,103.72

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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.