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Finding the Fourth Proportional to 4,745.81, 7,123.06 and 2,407.43

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Solution

The fourth proportional to 4,745.81, 7,123.06 and 2,407.43 is: 3,613.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,745.81 : 7,123.06 = 2,407.43 : x
  2. Step 2: Convert to fraction form
    4,745.81/7,123.06 = 2,407.43/x
  3. Step 3: Cross multiply
    4,745.81x = 7,123.06 × 2,407.43
  4. Step 4: Simplify right side
    4,745.81x = 17,148,280.12
  5. Step 5: Solve for x
    x = 17,148,280.12/4,745.81
  6. Step 6: Final answer
    x = 3,613.35

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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.