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Finding the Fourth Proportional to 3,430.16, 5,145.53 and 965.00

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Solution

The fourth proportional to 3,430.16, 5,145.53 and 965.00 is: 1,447.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.16 : 5,145.53 = 965.00 : x
  2. Step 2: Convert to fraction form
    3,430.16/5,145.53 = 965.00/x
  3. Step 3: Cross multiply
    3,430.16x = 5,145.53 × 965.00
  4. Step 4: Simplify right side
    3,430.16x = 4,965,437.25
  5. Step 5: Solve for x
    x = 4,965,437.25/3,430.16
  6. Step 6: Final answer
    x = 1,447.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.