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Finding the Fourth Proportional to 4,821.04, 7,231.62 and 1,358.32

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Solution

The fourth proportional to 4,821.04, 7,231.62 and 1,358.32 is: 2,037.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,821.04 : 7,231.62 = 1,358.32 : x
  2. Step 2: Convert to fraction form
    4,821.04/7,231.62 = 1,358.32/x
  3. Step 3: Cross multiply
    4,821.04x = 7,231.62 × 1,358.32
  4. Step 4: Simplify right side
    4,821.04x = 9,822,854.08
  5. Step 5: Solve for x
    x = 9,822,854.08/4,821.04
  6. Step 6: Final answer
    x = 2,037.50

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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.