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Finding the Fourth Proportional to 5,655.83, 7,802.93 and 3,265.52

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Solution

The fourth proportional to 5,655.83, 7,802.93 and 3,265.52 is: 4,505.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.83 : 7,802.93 = 3,265.52 : x
  2. Step 2: Convert to fraction form
    5,655.83/7,802.93 = 3,265.52/x
  3. Step 3: Cross multiply
    5,655.83x = 7,802.93 × 3,265.52
  4. Step 4: Simplify right side
    5,655.83x = 25,480,593.12
  5. Step 5: Solve for x
    x = 25,480,593.12/5,655.83
  6. Step 6: Final answer
    x = 4,505.19

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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.