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Finding the Fourth Proportional to 4,596.40, 6,893.32 and 1,263.84

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Solution

The fourth proportional to 4,596.40, 6,893.32 and 1,263.84 is: 1,895.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.40 : 6,893.32 = 1,263.84 : x
  2. Step 2: Convert to fraction form
    4,596.40/6,893.32 = 1,263.84/x
  3. Step 3: Cross multiply
    4,596.40x = 6,893.32 × 1,263.84
  4. Step 4: Simplify right side
    4,596.40x = 8,712,053.55
  5. Step 5: Solve for x
    x = 8,712,053.55/4,596.40
  6. Step 6: Final answer
    x = 1,895.41

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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.