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Finding the Fourth Proportional to 5,690.43, 8,513.13 and 4,307.76

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Solution

The fourth proportional to 5,690.43, 8,513.13 and 4,307.76 is: 6,444.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.43 : 8,513.13 = 4,307.76 : x
  2. Step 2: Convert to fraction form
    5,690.43/8,513.13 = 4,307.76/x
  3. Step 3: Cross multiply
    5,690.43x = 8,513.13 × 4,307.76
  4. Step 4: Simplify right side
    5,690.43x = 36,672,520.89
  5. Step 5: Solve for x
    x = 36,672,520.89/5,690.43
  6. Step 6: Final answer
    x = 6,444.60

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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.