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Finding the Fourth Proportional to 4,666.90, 7,000.35 and 1,204.15

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Solution

The fourth proportional to 4,666.90, 7,000.35 and 1,204.15 is: 1,806.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,666.90 : 7,000.35 = 1,204.15 : x
  2. Step 2: Convert to fraction form
    4,666.90/7,000.35 = 1,204.15/x
  3. Step 3: Cross multiply
    4,666.90x = 7,000.35 × 1,204.15
  4. Step 4: Simplify right side
    4,666.90x = 8,429,471.45
  5. Step 5: Solve for x
    x = 8,429,471.45/4,666.90
  6. Step 6: Final answer
    x = 1,806.23

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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.