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Finding the Fourth Proportional to 4,659.84, 6,987.60 and 1,737.36

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Solution

The fourth proportional to 4,659.84, 6,987.60 and 1,737.36 is: 2,605.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,659.84 : 6,987.60 = 1,737.36 : x
  2. Step 2: Convert to fraction form
    4,659.84/6,987.60 = 1,737.36/x
  3. Step 3: Cross multiply
    4,659.84x = 6,987.60 × 1,737.36
  4. Step 4: Simplify right side
    4,659.84x = 12,139,976.74
  5. Step 5: Solve for x
    x = 12,139,976.74/4,659.84
  6. Step 6: Final answer
    x = 2,605.23

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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.