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Finding the Fourth Proportional to 5,402.96, 8,106.12 and 4,587.20

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Solution

The fourth proportional to 5,402.96, 8,106.12 and 4,587.20 is: 6,882.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,402.96 : 8,106.12 = 4,587.20 : x
  2. Step 2: Convert to fraction form
    5,402.96/8,106.12 = 4,587.20/x
  3. Step 3: Cross multiply
    5,402.96x = 8,106.12 × 4,587.20
  4. Step 4: Simplify right side
    5,402.96x = 37,184,393.66
  5. Step 5: Solve for x
    x = 37,184,393.66/5,402.96
  6. Step 6: Final answer
    x = 6,882.23

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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.