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Finding the Fourth Proportional to 5,767.68, 8,652.80 and 2,688

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Solution

The fourth proportional to 5,767.68, 8,652.80 and 2,688 is: 4,032.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.68 : 8,652.80 = 2,688 : x
  2. Step 2: Convert to fraction form
    5,767.68/8,652.80 = 2,688/x
  3. Step 3: Cross multiply
    5,767.68x = 8,652.80 × 2,688
  4. Step 4: Simplify right side
    5,767.68x = 23,258,726.40
  5. Step 5: Solve for x
    x = 23,258,726.40/5,767.68
  6. Step 6: Final answer
    x = 4,032.60

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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.