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Finding the Fourth Proportional to 4,568.64, 6,850.08 and 3,875.55

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Solution

The fourth proportional to 4,568.64, 6,850.08 and 3,875.55 is: 5,810.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,568.64 : 6,850.08 = 3,875.55 : x
  2. Step 2: Convert to fraction form
    4,568.64/6,850.08 = 3,875.55/x
  3. Step 3: Cross multiply
    4,568.64x = 6,850.08 × 3,875.55
  4. Step 4: Simplify right side
    4,568.64x = 26,547,827.54
  5. Step 5: Solve for x
    x = 26,547,827.54/4,568.64
  6. Step 6: Final answer
    x = 5,810.88

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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.