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Finding the Fourth Proportional to 6,130.32, 8,460.42 and 3,613.22

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Solution

The fourth proportional to 6,130.32, 8,460.42 and 3,613.22 is: 4,986.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.32 : 8,460.42 = 3,613.22 : x
  2. Step 2: Convert to fraction form
    6,130.32/8,460.42 = 3,613.22/x
  3. Step 3: Cross multiply
    6,130.32x = 8,460.42 × 3,613.22
  4. Step 4: Simplify right side
    6,130.32x = 30,569,316.45
  5. Step 5: Solve for x
    x = 30,569,316.45/6,130.32
  6. Step 6: Final answer
    x = 4,986.58

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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.