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Finding the Fourth Proportional to 5,323.56, 7,346.56 and 3,335.28

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Solution

The fourth proportional to 5,323.56, 7,346.56 and 3,335.28 is: 4,602.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,323.56 : 7,346.56 = 3,335.28 : x
  2. Step 2: Convert to fraction form
    5,323.56/7,346.56 = 3,335.28/x
  3. Step 3: Cross multiply
    5,323.56x = 7,346.56 × 3,335.28
  4. Step 4: Simplify right side
    5,323.56x = 24,502,834.64
  5. Step 5: Solve for x
    x = 24,502,834.64/5,323.56
  6. Step 6: Final answer
    x = 4,602.72

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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.