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Finding the Fourth Proportional to 5,613.34, 7,746.33 and 3,255.70

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Solution

The fourth proportional to 5,613.34, 7,746.33 and 3,255.70 is: 4,492.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613.34 : 7,746.33 = 3,255.70 : x
  2. Step 2: Convert to fraction form
    5,613.34/7,746.33 = 3,255.70/x
  3. Step 3: Cross multiply
    5,613.34x = 7,746.33 × 3,255.70
  4. Step 4: Simplify right side
    5,613.34x = 25,219,726.58
  5. Step 5: Solve for x
    x = 25,219,726.58/5,613.34
  6. Step 6: Final answer
    x = 4,492.82

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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.