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Finding the Fourth Proportional to 5,345.70, 7,365.96 and 4,546.26

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Solution

The fourth proportional to 5,345.70, 7,365.96 and 4,546.26 is: 6,264.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,345.70 : 7,365.96 = 4,546.26 : x
  2. Step 2: Convert to fraction form
    5,345.70/7,365.96 = 4,546.26/x
  3. Step 3: Cross multiply
    5,345.70x = 7,365.96 × 4,546.26
  4. Step 4: Simplify right side
    5,345.70x = 33,487,569.31
  5. Step 5: Solve for x
    x = 33,487,569.31/5,345.70
  6. Step 6: Final answer
    x = 6,264.39

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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.