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Finding the Fourth Proportional to 5,613.48, 7,746.18 and 3,129

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Solution

The fourth proportional to 5,613.48, 7,746.18 and 3,129 is: 4,317.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613.48 : 7,746.18 = 3,129 : x
  2. Step 2: Convert to fraction form
    5,613.48/7,746.18 = 3,129/x
  3. Step 3: Cross multiply
    5,613.48x = 7,746.18 × 3,129
  4. Step 4: Simplify right side
    5,613.48x = 24,237,797.22
  5. Step 5: Solve for x
    x = 24,237,797.22/5,613.48
  6. Step 6: Final answer
    x = 4,317.78

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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.