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Finding the Fourth Proportional to 3,974,658.66, 5,963,086.35 and 1,416,459.15

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Solution

The fourth proportional to 3,974,658.66, 5,963,086.35 and 1,416,459.15 is: 2,125,080.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974,658.66 : 5,963,086.35 = 1,416,459.15 : x
  2. Step 2: Convert to fraction form
    3,974,658.66/5,963,086.35 = 1,416,459.15/x
  3. Step 3: Cross multiply
    3,974,658.66x = 5,963,086.35 × 1,416,459.15
  4. Step 4: Simplify right side
    3,974,658.66x = 8,446,468,222,697.60
  5. Step 5: Solve for x
    x = 8,446,468,222,697.60/3,974,658.66
  6. Step 6: Final answer
    x = 2,125,080.15

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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.