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Finding the Fourth Proportional to 4,802.16, 7,203.24 and 1,339.32

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Solution

The fourth proportional to 4,802.16, 7,203.24 and 1,339.32 is: 2,008.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802.16 : 7,203.24 = 1,339.32 : x
  2. Step 2: Convert to fraction form
    4,802.16/7,203.24 = 1,339.32/x
  3. Step 3: Cross multiply
    4,802.16x = 7,203.24 × 1,339.32
  4. Step 4: Simplify right side
    4,802.16x = 9,647,443.40
  5. Step 5: Solve for x
    x = 9,647,443.40/4,802.16
  6. Step 6: Final answer
    x = 2,008.98

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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.