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Finding the Fourth Proportional to 4,698.29, 6,476.74 and 3,577.28

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Solution

The fourth proportional to 4,698.29, 6,476.74 and 3,577.28 is: 4,931.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.29 : 6,476.74 = 3,577.28 : x
  2. Step 2: Convert to fraction form
    4,698.29/6,476.74 = 3,577.28/x
  3. Step 3: Cross multiply
    4,698.29x = 6,476.74 × 3,577.28
  4. Step 4: Simplify right side
    4,698.29x = 23,169,112.47
  5. Step 5: Solve for x
    x = 23,169,112.47/4,698.29
  6. Step 6: Final answer
    x = 4,931.39

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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.