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Finding the Fourth Proportional to 3,603.84, 4,973.40 and 2,010.66

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Solution

The fourth proportional to 3,603.84, 4,973.40 and 2,010.66 is: 2,774.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.84 : 4,973.40 = 2,010.66 : x
  2. Step 2: Convert to fraction form
    3,603.84/4,973.40 = 2,010.66/x
  3. Step 3: Cross multiply
    3,603.84x = 4,973.40 × 2,010.66
  4. Step 4: Simplify right side
    3,603.84x = 9,999,816.44
  5. Step 5: Solve for x
    x = 9,999,816.44/3,603.84
  6. Step 6: Final answer
    x = 2,774.77

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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.