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Finding the Fourth Proportional to 5,935.56, 8,884 and 4,374.93

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Solution

The fourth proportional to 5,935.56, 8,884 and 4,374.93 is: 6,548.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,935.56 : 8,884 = 4,374.93 : x
  2. Step 2: Convert to fraction form
    5,935.56/8,884 = 4,374.93/x
  3. Step 3: Cross multiply
    5,935.56x = 8,884 × 4,374.93
  4. Step 4: Simplify right side
    5,935.56x = 38,866,878.12
  5. Step 5: Solve for x
    x = 38,866,878.12/5,935.56
  6. Step 6: Final answer
    x = 6,548.14

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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.