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Finding the Fourth Proportional to 3,467.76, 4,785.50 and 2,070.52

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Solution

The fourth proportional to 3,467.76, 4,785.50 and 2,070.52 is: 2,857.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.76 : 4,785.50 = 2,070.52 : x
  2. Step 2: Convert to fraction form
    3,467.76/4,785.50 = 2,070.52/x
  3. Step 3: Cross multiply
    3,467.76x = 4,785.50 × 2,070.52
  4. Step 4: Simplify right side
    3,467.76x = 9,908,473.46
  5. Step 5: Solve for x
    x = 9,908,473.46/3,467.76
  6. Step 6: Final answer
    x = 2,857.31

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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.