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Finding the Fourth Proportional to 5,323.34, 7,339.04 and 3,727.84

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Solution

The fourth proportional to 5,323.34, 7,339.04 and 3,727.84 is: 5,139.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323.34 : 7,339.04 = 3,727.84 : x
  2. Step 2: Convert to fraction form
    5,323.34/7,339.04 = 3,727.84/x
  3. Step 3: Cross multiply
    5,323.34x = 7,339.04 × 3,727.84
  4. Step 4: Simplify right side
    5,323.34x = 27,358,730.18
  5. Step 5: Solve for x
    x = 27,358,730.18/5,323.34
  6. Step 6: Final answer
    x = 5,139.40

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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.