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Finding the Fourth Proportional to 5,784.48, 8,677.13 and 2,862

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Solution

The fourth proportional to 5,784.48, 8,677.13 and 2,862 is: 4,293.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.48 : 8,677.13 = 2,862 : x
  2. Step 2: Convert to fraction form
    5,784.48/8,677.13 = 2,862/x
  3. Step 3: Cross multiply
    5,784.48x = 8,677.13 × 2,862
  4. Step 4: Simplify right side
    5,784.48x = 24,833,931.75
  5. Step 5: Solve for x
    x = 24,833,931.75/5,784.48
  6. Step 6: Final answer
    x = 4,293.20

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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.