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Finding the Fourth Proportional to 4,661.24, 6,430.56 and 2,798.24

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Solution

The fourth proportional to 4,661.24, 6,430.56 and 2,798.24 is: 3,860.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661.24 : 6,430.56 = 2,798.24 : x
  2. Step 2: Convert to fraction form
    4,661.24/6,430.56 = 2,798.24/x
  3. Step 3: Cross multiply
    4,661.24x = 6,430.56 × 2,798.24
  4. Step 4: Simplify right side
    4,661.24x = 17,994,250.21
  5. Step 5: Solve for x
    x = 17,994,250.21/4,661.24
  6. Step 6: Final answer
    x = 3,860.40

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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.