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Finding the Fourth Proportional to 5,070.64, 6,996.84 and 2,974

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Solution

The fourth proportional to 5,070.64, 6,996.84 and 2,974 is: 4,103.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,070.64 : 6,996.84 = 2,974 : x
  2. Step 2: Convert to fraction form
    5,070.64/6,996.84 = 2,974/x
  3. Step 3: Cross multiply
    5,070.64x = 6,996.84 × 2,974
  4. Step 4: Simplify right side
    5,070.64x = 20,808,602.16
  5. Step 5: Solve for x
    x = 20,808,602.16/5,070.64
  6. Step 6: Final answer
    x = 4,103.74

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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.