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Finding the Fourth Proportional to 5,965.62, 8,235.81 and 4,570.74

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Solution

The fourth proportional to 5,965.62, 8,235.81 and 4,570.74 is: 6,310.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.62 : 8,235.81 = 4,570.74 : x
  2. Step 2: Convert to fraction form
    5,965.62/8,235.81 = 4,570.74/x
  3. Step 3: Cross multiply
    5,965.62x = 8,235.81 × 4,570.74
  4. Step 4: Simplify right side
    5,965.62x = 37,643,746.20
  5. Step 5: Solve for x
    x = 37,643,746.20/5,965.62
  6. Step 6: Final answer
    x = 6,310.11

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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.