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Finding the Fourth Proportional to 5,730.10, 7,909.08 and 3,373

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Solution

The fourth proportional to 5,730.10, 7,909.08 and 3,373 is: 4,655.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,730.10 : 7,909.08 = 3,373 : x
  2. Step 2: Convert to fraction form
    5,730.10/7,909.08 = 3,373/x
  3. Step 3: Cross multiply
    5,730.10x = 7,909.08 × 3,373
  4. Step 4: Simplify right side
    5,730.10x = 26,677,326.84
  5. Step 5: Solve for x
    x = 26,677,326.84/5,730.10
  6. Step 6: Final answer
    x = 4,655.65

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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.