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Finding the Fourth Proportional to 4,666.89, 6,443.51 and 3,784.53

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Solution

The fourth proportional to 4,666.89, 6,443.51 and 3,784.53 is: 5,225.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.89 : 6,443.51 = 3,784.53 : x
  2. Step 2: Convert to fraction form
    4,666.89/6,443.51 = 3,784.53/x
  3. Step 3: Cross multiply
    4,666.89x = 6,443.51 × 3,784.53
  4. Step 4: Simplify right side
    4,666.89x = 24,385,637.98
  5. Step 5: Solve for x
    x = 24,385,637.98/4,666.89
  6. Step 6: Final answer
    x = 5,225.24

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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.