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Finding the Fourth Proportional to 5,291.16, 7,935.12 and 4,543.44

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Solution

The fourth proportional to 5,291.16, 7,935.12 and 4,543.44 is: 6,813.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.16 : 7,935.12 = 4,543.44 : x
  2. Step 2: Convert to fraction form
    5,291.16/7,935.12 = 4,543.44/x
  3. Step 3: Cross multiply
    5,291.16x = 7,935.12 × 4,543.44
  4. Step 4: Simplify right side
    5,291.16x = 36,052,741.61
  5. Step 5: Solve for x
    x = 36,052,741.61/5,291.16
  6. Step 6: Final answer
    x = 6,813.77

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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.