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Finding the Fourth Proportional to 5,655.04, 7,795.20 and 4,605.28

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Solution

The fourth proportional to 5,655.04, 7,795.20 and 4,605.28 is: 6,348.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.04 : 7,795.20 = 4,605.28 : x
  2. Step 2: Convert to fraction form
    5,655.04/7,795.20 = 4,605.28/x
  3. Step 3: Cross multiply
    5,655.04x = 7,795.20 × 4,605.28
  4. Step 4: Simplify right side
    5,655.04x = 35,899,078.66
  5. Step 5: Solve for x
    x = 35,899,078.66/5,655.04
  6. Step 6: Final answer
    x = 6,348.16

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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.