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Finding the Fourth Proportional to 3,133.46, 4,677.10 and 3,068.66

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Solution

The fourth proportional to 3,133.46, 4,677.10 and 3,068.66 is: 4,580.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.46 : 4,677.10 = 3,068.66 : x
  2. Step 2: Convert to fraction form
    3,133.46/4,677.10 = 3,068.66/x
  3. Step 3: Cross multiply
    3,133.46x = 4,677.10 × 3,068.66
  4. Step 4: Simplify right side
    3,133.46x = 14,352,429.69
  5. Step 5: Solve for x
    x = 14,352,429.69/3,133.46
  6. Step 6: Final answer
    x = 4,580.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.