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Finding the Fourth Proportional to 4,752.31, 7,128.57 and 1,632.31

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Solution

The fourth proportional to 4,752.31, 7,128.57 and 1,632.31 is: 2,448.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,752.31 : 7,128.57 = 1,632.31 : x
  2. Step 2: Convert to fraction form
    4,752.31/7,128.57 = 1,632.31/x
  3. Step 3: Cross multiply
    4,752.31x = 7,128.57 × 1,632.31
  4. Step 4: Simplify right side
    4,752.31x = 11,636,036.10
  5. Step 5: Solve for x
    x = 11,636,036.10/4,752.31
  6. Step 6: Final answer
    x = 2,448.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.