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Finding the Fourth Proportional to 4,656.99, 6,426.27 and 2,742.51

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Solution

The fourth proportional to 4,656.99, 6,426.27 and 2,742.51 is: 3,784.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,656.99 : 6,426.27 = 2,742.51 : x
  2. Step 2: Convert to fraction form
    4,656.99/6,426.27 = 2,742.51/x
  3. Step 3: Cross multiply
    4,656.99x = 6,426.27 × 2,742.51
  4. Step 4: Simplify right side
    4,656.99x = 17,624,109.74
  5. Step 5: Solve for x
    x = 17,624,109.74/4,656.99
  6. Step 6: Final answer
    x = 3,784.44

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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.