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Finding the Fourth Proportional to 5,704.34, 8,547.68 and 4,451.96

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Solution

The fourth proportional to 5,704.34, 8,547.68 and 4,451.96 is: 6,671.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.34 : 8,547.68 = 4,451.96 : x
  2. Step 2: Convert to fraction form
    5,704.34/8,547.68 = 4,451.96/x
  3. Step 3: Cross multiply
    5,704.34x = 8,547.68 × 4,451.96
  4. Step 4: Simplify right side
    5,704.34x = 38,053,931.98
  5. Step 5: Solve for x
    x = 38,053,931.98/5,704.34
  6. Step 6: Final answer
    x = 6,671.05

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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.