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Finding the Fourth Proportional to 5,323, 7,345.92 and 3,085.24

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Solution

The fourth proportional to 5,323, 7,345.92 and 3,085.24 is: 4,257.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323 : 7,345.92 = 3,085.24 : x
  2. Step 2: Convert to fraction form
    5,323/7,345.92 = 3,085.24/x
  3. Step 3: Cross multiply
    5,323x = 7,345.92 × 3,085.24
  4. Step 4: Simplify right side
    5,323x = 22,663,926.22
  5. Step 5: Solve for x
    x = 22,663,926.22/5,323
  6. Step 6: Final answer
    x = 4,257.74

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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.