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Finding the Fourth Proportional to 4,714.12, 7,071.63 and 1,426.63

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Solution

The fourth proportional to 4,714.12, 7,071.63 and 1,426.63 is: 2,140.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,714.12 : 7,071.63 = 1,426.63 : x
  2. Step 2: Convert to fraction form
    4,714.12/7,071.63 = 1,426.63/x
  3. Step 3: Cross multiply
    4,714.12x = 7,071.63 × 1,426.63
  4. Step 4: Simplify right side
    4,714.12x = 10,088,599.51
  5. Step 5: Solve for x
    x = 10,088,599.51/4,714.12
  6. Step 6: Final answer
    x = 2,140.08

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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.