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Finding the Fourth Proportional to 4,597.85, 6,894.73 and 1,310.20

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Solution

The fourth proportional to 4,597.85, 6,894.73 and 1,310.20 is: 1,964.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,597.85 : 6,894.73 = 1,310.20 : x
  2. Step 2: Convert to fraction form
    4,597.85/6,894.73 = 1,310.20/x
  3. Step 3: Cross multiply
    4,597.85x = 6,894.73 × 1,310.20
  4. Step 4: Simplify right side
    4,597.85x = 9,033,475.25
  5. Step 5: Solve for x
    x = 9,033,475.25/4,597.85
  6. Step 6: Final answer
    x = 1,964.72

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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.