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Finding the Fourth Proportional to 3,784,773.77, 5,677,241.08 and 1,356,085.21

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Solution

The fourth proportional to 3,784,773.77, 5,677,241.08 and 1,356,085.21 is: 2,034,156.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784,773.77 : 5,677,241.08 = 1,356,085.21 : x
  2. Step 2: Convert to fraction form
    3,784,773.77/5,677,241.08 = 1,356,085.21/x
  3. Step 3: Cross multiply
    3,784,773.77x = 5,677,241.08 × 1,356,085.21
  4. Step 4: Simplify right side
    3,784,773.77x = 7,698,822,657,796.60
  5. Step 5: Solve for x
    x = 7,698,822,657,796.60/3,784,773.77
  6. Step 6: Final answer
    x = 2,034,156.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.