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Finding the Fourth Proportional to 5,648,461.74, 7,794,713.37 and 3,201,298.96

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Solution

The fourth proportional to 5,648,461.74, 7,794,713.37 and 3,201,298.96 is: 4,417,699.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648,461.74 : 7,794,713.37 = 3,201,298.96 : x
  2. Step 2: Convert to fraction form
    5,648,461.74/7,794,713.37 = 3,201,298.96/x
  3. Step 3: Cross multiply
    5,648,461.74x = 7,794,713.37 × 3,201,298.96
  4. Step 4: Simplify right side
    5,648,461.74x = 24,953,207,804,879.09
  5. Step 5: Solve for x
    x = 24,953,207,804,879.09/5,648,461.74
  6. Step 6: Final answer
    x = 4,417,699.71

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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.