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Finding the Fourth Proportional to 4,752.30, 7,128.45 and 4,406.70

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Solution

The fourth proportional to 4,752.30, 7,128.45 and 4,406.70 is: 6,610.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.30 : 7,128.45 = 4,406.70 : x
  2. Step 2: Convert to fraction form
    4,752.30/7,128.45 = 4,406.70/x
  3. Step 3: Cross multiply
    4,752.30x = 7,128.45 × 4,406.70
  4. Step 4: Simplify right side
    4,752.30x = 31,412,940.62
  5. Step 5: Solve for x
    x = 31,412,940.62/4,752.30
  6. Step 6: Final answer
    x = 6,610.05

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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.