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Finding the Fourth Proportional to 4,597.35, 6,893.98 and 1,309.70

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Solution

The fourth proportional to 4,597.35, 6,893.98 and 1,309.70 is: 1,963.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.35 : 6,893.98 = 1,309.70 : x
  2. Step 2: Convert to fraction form
    4,597.35/6,893.98 = 1,309.70/x
  3. Step 3: Cross multiply
    4,597.35x = 6,893.98 × 1,309.70
  4. Step 4: Simplify right side
    4,597.35x = 9,029,045.61
  5. Step 5: Solve for x
    x = 9,029,045.61/4,597.35
  6. Step 6: Final answer
    x = 1,963.97

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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.