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Finding the Fourth Proportional to 5,639.12, 7,788.36 and 4,762.32

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Solution

The fourth proportional to 5,639.12, 7,788.36 and 4,762.32 is: 6,577.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,639.12 : 7,788.36 = 4,762.32 : x
  2. Step 2: Convert to fraction form
    5,639.12/7,788.36 = 4,762.32/x
  3. Step 3: Cross multiply
    5,639.12x = 7,788.36 × 4,762.32
  4. Step 4: Simplify right side
    5,639.12x = 37,090,662.60
  5. Step 5: Solve for x
    x = 37,090,662.60/5,639.12
  6. Step 6: Final answer
    x = 6,577.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.