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Finding the Fourth Proportional to 6,035.80, 8,308 and 4,461.16

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Solution

The fourth proportional to 6,035.80, 8,308 and 4,461.16 is: 6,140.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,035.80 : 8,308 = 4,461.16 : x
  2. Step 2: Convert to fraction form
    6,035.80/8,308 = 4,461.16/x
  3. Step 3: Cross multiply
    6,035.80x = 8,308 × 4,461.16
  4. Step 4: Simplify right side
    6,035.80x = 37,063,317.28
  5. Step 5: Solve for x
    x = 37,063,317.28/6,035.80
  6. Step 6: Final answer
    x = 6,140.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.