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Finding the Fourth Proportional to 5,300.70, 7,314.93 and 3,062.58

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Solution

The fourth proportional to 5,300.70, 7,314.93 and 3,062.58 is: 4,226.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,300.70 : 7,314.93 = 3,062.58 : x
  2. Step 2: Convert to fraction form
    5,300.70/7,314.93 = 3,062.58/x
  3. Step 3: Cross multiply
    5,300.70x = 7,314.93 × 3,062.58
  4. Step 4: Simplify right side
    5,300.70x = 22,402,558.32
  5. Step 5: Solve for x
    x = 22,402,558.32/5,300.70
  6. Step 6: Final answer
    x = 4,226.34

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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.