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Finding the Fourth Proportional to 3,441,842.49, 4,749,752.10 and 1,893,262.82

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Solution

The fourth proportional to 3,441,842.49, 4,749,752.10 and 1,893,262.82 is: 2,612,707.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441,842.49 : 4,749,752.10 = 1,893,262.82 : x
  2. Step 2: Convert to fraction form
    3,441,842.49/4,749,752.10 = 1,893,262.82/x
  3. Step 3: Cross multiply
    3,441,842.49x = 4,749,752.10 × 1,893,262.82
  4. Step 4: Simplify right side
    3,441,842.49x = 8,992,529,021,931.85
  5. Step 5: Solve for x
    x = 8,992,529,021,931.85/3,441,842.49
  6. Step 6: Final answer
    x = 2,612,707.89

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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.