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Finding the Fourth Proportional to 5,407,674.74, 7,454,640.57 and 4,116,265.82

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Solution

The fourth proportional to 5,407,674.74, 7,454,640.57 and 4,116,265.82 is: 5,674,394.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407,674.74 : 7,454,640.57 = 4,116,265.82 : x
  2. Step 2: Convert to fraction form
    5,407,674.74/7,454,640.57 = 4,116,265.82/x
  3. Step 3: Cross multiply
    5,407,674.74x = 7,454,640.57 × 4,116,265.82
  4. Step 4: Simplify right side
    5,407,674.74x = 30,685,282,178,676.32
  5. Step 5: Solve for x
    x = 30,685,282,178,676.32/5,407,674.74
  6. Step 6: Final answer
    x = 5,674,394.94

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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.