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Finding the Fourth Proportional to 4,598.27, 6,895.35 and 1,310.58

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Solution

The fourth proportional to 4,598.27, 6,895.35 and 1,310.58 is: 1,965.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,598.27 : 6,895.35 = 1,310.58 : x
  2. Step 2: Convert to fraction form
    4,598.27/6,895.35 = 1,310.58/x
  3. Step 3: Cross multiply
    4,598.27x = 6,895.35 × 1,310.58
  4. Step 4: Simplify right side
    4,598.27x = 9,036,907.80
  5. Step 5: Solve for x
    x = 9,036,907.80/4,598.27
  6. Step 6: Final answer
    x = 1,965.29

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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.