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Finding the Fourth Proportional to 4,563.59, 6,297.65 and 2,574.18

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Solution

The fourth proportional to 4,563.59, 6,297.65 and 2,574.18 is: 3,552.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563.59 : 6,297.65 = 2,574.18 : x
  2. Step 2: Convert to fraction form
    4,563.59/6,297.65 = 2,574.18/x
  3. Step 3: Cross multiply
    4,563.59x = 6,297.65 × 2,574.18
  4. Step 4: Simplify right side
    4,563.59x = 16,211,281.46
  5. Step 5: Solve for x
    x = 16,211,281.46/4,563.59
  6. Step 6: Final answer
    x = 3,552.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.