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Finding the Fourth Proportional to 5,347.68, 8,010.64 and 4,364

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Solution

The fourth proportional to 5,347.68, 8,010.64 and 4,364 is: 6,537.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,347.68 : 8,010.64 = 4,364 : x
  2. Step 2: Convert to fraction form
    5,347.68/8,010.64 = 4,364/x
  3. Step 3: Cross multiply
    5,347.68x = 8,010.64 × 4,364
  4. Step 4: Simplify right side
    5,347.68x = 34,958,432.96
  5. Step 5: Solve for x
    x = 34,958,432.96/5,347.68
  6. Step 6: Final answer
    x = 6,537.12

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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.