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Finding the Fourth Proportional to 5,312, 7,331.84 and 3,842.56

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Solution

The fourth proportional to 5,312, 7,331.84 and 3,842.56 is: 5,303.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312 : 7,331.84 = 3,842.56 : x
  2. Step 2: Convert to fraction form
    5,312/7,331.84 = 3,842.56/x
  3. Step 3: Cross multiply
    5,312x = 7,331.84 × 3,842.56
  4. Step 4: Simplify right side
    5,312x = 28,173,035.11
  5. Step 5: Solve for x
    x = 28,173,035.11/5,312
  6. Step 6: Final answer
    x = 5,303.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.