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Finding the Fourth Proportional to 4,659.04, 6,989.37 and 1,737.51

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Solution

The fourth proportional to 4,659.04, 6,989.37 and 1,737.51 is: 2,606.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.04 : 6,989.37 = 1,737.51 : x
  2. Step 2: Convert to fraction form
    4,659.04/6,989.37 = 1,737.51/x
  3. Step 3: Cross multiply
    4,659.04x = 6,989.37 × 1,737.51
  4. Step 4: Simplify right side
    4,659.04x = 12,144,100.27
  5. Step 5: Solve for x
    x = 12,144,100.27/4,659.04
  6. Step 6: Final answer
    x = 2,606.57

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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.