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Finding the Fourth Proportional to 5,291.68, 7,303.04 and 2,934.28

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Solution

The fourth proportional to 5,291.68, 7,303.04 and 2,934.28 is: 4,049.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,291.68 : 7,303.04 = 2,934.28 : x
  2. Step 2: Convert to fraction form
    5,291.68/7,303.04 = 2,934.28/x
  3. Step 3: Cross multiply
    5,291.68x = 7,303.04 × 2,934.28
  4. Step 4: Simplify right side
    5,291.68x = 21,429,153.29
  5. Step 5: Solve for x
    x = 21,429,153.29/5,291.68
  6. Step 6: Final answer
    x = 4,049.60

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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.