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Finding the Fourth Proportional to 4,670.40, 7,005.82 and 1,895.64

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Solution

The fourth proportional to 4,670.40, 7,005.82 and 1,895.64 is: 2,843.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.40 : 7,005.82 = 1,895.64 : x
  2. Step 2: Convert to fraction form
    4,670.40/7,005.82 = 1,895.64/x
  3. Step 3: Cross multiply
    4,670.40x = 7,005.82 × 1,895.64
  4. Step 4: Simplify right side
    4,670.40x = 13,280,512.62
  5. Step 5: Solve for x
    x = 13,280,512.62/4,670.40
  6. Step 6: Final answer
    x = 2,843.55

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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.