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Finding the Fourth Proportional to 6,703.40, 9,250.34 and 3,719

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Solution

The fourth proportional to 6,703.40, 9,250.34 and 3,719 is: 5,132.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,703.40 : 9,250.34 = 3,719 : x
  2. Step 2: Convert to fraction form
    6,703.40/9,250.34 = 3,719/x
  3. Step 3: Cross multiply
    6,703.40x = 9,250.34 × 3,719
  4. Step 4: Simplify right side
    6,703.40x = 34,402,014.46
  5. Step 5: Solve for x
    x = 34,402,014.46/6,703.40
  6. Step 6: Final answer
    x = 5,132.02

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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.