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Finding the Fourth Proportional to 5,699.67, 8,527.02 and 4,317

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Solution

The fourth proportional to 5,699.67, 8,527.02 and 4,317 is: 6,458.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.67 : 8,527.02 = 4,317 : x
  2. Step 2: Convert to fraction form
    5,699.67/8,527.02 = 4,317/x
  3. Step 3: Cross multiply
    5,699.67x = 8,527.02 × 4,317
  4. Step 4: Simplify right side
    5,699.67x = 36,811,145.34
  5. Step 5: Solve for x
    x = 36,811,145.34/5,699.67
  6. Step 6: Final answer
    x = 6,458.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.