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Finding the Fourth Proportional to 4,683.46, 7,030.25 and 4,166.77

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Solution

The fourth proportional to 4,683.46, 7,030.25 and 4,166.77 is: 6,254.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,683.46 : 7,030.25 = 4,166.77 : x
  2. Step 2: Convert to fraction form
    4,683.46/7,030.25 = 4,166.77/x
  3. Step 3: Cross multiply
    4,683.46x = 7,030.25 × 4,166.77
  4. Step 4: Simplify right side
    4,683.46x = 29,293,434.79
  5. Step 5: Solve for x
    x = 29,293,434.79/4,683.46
  6. Step 6: Final answer
    x = 6,254.66

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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.