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Finding the Fourth Proportional to 4,642.84, 6,407.45 and 2,653.69

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Solution

The fourth proportional to 4,642.84, 6,407.45 and 2,653.69 is: 3,662.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.84 : 6,407.45 = 2,653.69 : x
  2. Step 2: Convert to fraction form
    4,642.84/6,407.45 = 2,653.69/x
  3. Step 3: Cross multiply
    4,642.84x = 6,407.45 × 2,653.69
  4. Step 4: Simplify right side
    4,642.84x = 17,003,385.99
  5. Step 5: Solve for x
    x = 17,003,385.99/4,642.84
  6. Step 6: Final answer
    x = 3,662.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.