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Finding the Fourth Proportional to 4,537.47, 6,806.65 and 1,764.37

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Solution

The fourth proportional to 4,537.47, 6,806.65 and 1,764.37 is: 2,646.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,537.47 : 6,806.65 = 1,764.37 : x
  2. Step 2: Convert to fraction form
    4,537.47/6,806.65 = 1,764.37/x
  3. Step 3: Cross multiply
    4,537.47x = 6,806.65 × 1,764.37
  4. Step 4: Simplify right side
    4,537.47x = 12,009,418.18
  5. Step 5: Solve for x
    x = 12,009,418.18/4,537.47
  6. Step 6: Final answer
    x = 2,646.72

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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.