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Finding the Fourth Proportional to 4,683.61, 6,461.53 and 3,002.66

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Solution

The fourth proportional to 4,683.61, 6,461.53 and 3,002.66 is: 4,142.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,683.61 : 6,461.53 = 3,002.66 : x
  2. Step 2: Convert to fraction form
    4,683.61/6,461.53 = 3,002.66/x
  3. Step 3: Cross multiply
    4,683.61x = 6,461.53 × 3,002.66
  4. Step 4: Simplify right side
    4,683.61x = 19,401,777.67
  5. Step 5: Solve for x
    x = 19,401,777.67/4,683.61
  6. Step 6: Final answer
    x = 4,142.48

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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.