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Finding the Fourth Proportional to 4,650.29, 6,419.90 and 3,585.72

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Solution

The fourth proportional to 4,650.29, 6,419.90 and 3,585.72 is: 4,950.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,650.29 : 6,419.90 = 3,585.72 : x
  2. Step 2: Convert to fraction form
    4,650.29/6,419.90 = 3,585.72/x
  3. Step 3: Cross multiply
    4,650.29x = 6,419.90 × 3,585.72
  4. Step 4: Simplify right side
    4,650.29x = 23,019,931.73
  5. Step 5: Solve for x
    x = 23,019,931.73/4,650.29
  6. Step 6: Final answer
    x = 4,950.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.