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Finding the Fourth Proportional to 4,599.75, 6,878.59 and 3,430.55

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Solution

The fourth proportional to 4,599.75, 6,878.59 and 3,430.55 is: 5,130.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,599.75 : 6,878.59 = 3,430.55 : x
  2. Step 2: Convert to fraction form
    4,599.75/6,878.59 = 3,430.55/x
  3. Step 3: Cross multiply
    4,599.75x = 6,878.59 × 3,430.55
  4. Step 4: Simplify right side
    4,599.75x = 23,597,346.92
  5. Step 5: Solve for x
    x = 23,597,346.92/4,599.75
  6. Step 6: Final answer
    x = 5,130.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.