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Finding the Fourth Proportional to 4,598.98, 6,346.62 and 2,503.12

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Solution

The fourth proportional to 4,598.98, 6,346.62 and 2,503.12 is: 3,454.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,598.98 : 6,346.62 = 2,503.12 : x
  2. Step 2: Convert to fraction form
    4,598.98/6,346.62 = 2,503.12/x
  3. Step 3: Cross multiply
    4,598.98x = 6,346.62 × 2,503.12
  4. Step 4: Simplify right side
    4,598.98x = 15,886,351.45
  5. Step 5: Solve for x
    x = 15,886,351.45/4,598.98
  6. Step 6: Final answer
    x = 3,454.32

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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.