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Finding the Fourth Proportional to 4,673.65, 7,004.40 and 4,151.20

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Solution

The fourth proportional to 4,673.65, 7,004.40 and 4,151.20 is: 6,221.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.65 : 7,004.40 = 4,151.20 : x
  2. Step 2: Convert to fraction form
    4,673.65/7,004.40 = 4,151.20/x
  3. Step 3: Cross multiply
    4,673.65x = 7,004.40 × 4,151.20
  4. Step 4: Simplify right side
    4,673.65x = 29,076,665.28
  5. Step 5: Solve for x
    x = 29,076,665.28/4,673.65
  6. Step 6: Final answer
    x = 6,221.40

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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.