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Finding the Fourth Proportional to 4,719.98, 7,078.32 and 1,387.32

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Solution

The fourth proportional to 4,719.98, 7,078.32 and 1,387.32 is: 2,080.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,719.98 : 7,078.32 = 1,387.32 : x
  2. Step 2: Convert to fraction form
    4,719.98/7,078.32 = 1,387.32/x
  3. Step 3: Cross multiply
    4,719.98x = 7,078.32 × 1,387.32
  4. Step 4: Simplify right side
    4,719.98x = 9,819,894.90
  5. Step 5: Solve for x
    x = 9,819,894.90/4,719.98
  6. Step 6: Final answer
    x = 2,080.50

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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.