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Finding the Fourth Proportional to 5,407,696.86, 7,454,671.10 and 4,116,287.94

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Solution

The fourth proportional to 5,407,696.86, 7,454,671.10 and 4,116,287.94 is: 5,674,425.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407,696.86 : 7,454,671.10 = 4,116,287.94 : x
  2. Step 2: Convert to fraction form
    5,407,696.86/7,454,671.10 = 4,116,287.94/x
  3. Step 3: Cross multiply
    5,407,696.86x = 7,454,671.10 × 4,116,287.94
  4. Step 4: Simplify right side
    5,407,696.86x = 30,685,572,745,596.53
  5. Step 5: Solve for x
    x = 30,685,572,745,596.53/5,407,696.86
  6. Step 6: Final answer
    x = 5,674,425.46

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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.