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Finding the Fourth Proportional to 6,130.79, 8,460.41 and 3,613.00

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Solution

The fourth proportional to 6,130.79, 8,460.41 and 3,613.00 is: 4,985.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,130.79 : 8,460.41 = 3,613.00 : x
  2. Step 2: Convert to fraction form
    6,130.79/8,460.41 = 3,613.00/x
  3. Step 3: Cross multiply
    6,130.79x = 8,460.41 × 3,613.00
  4. Step 4: Simplify right side
    6,130.79x = 30,567,484.02
  5. Step 5: Solve for x
    x = 30,567,484.02/6,130.79
  6. Step 6: Final answer
    x = 4,985.90

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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.