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Finding the Fourth Proportional to 5,648,460.74, 7,794,712.00 and 3,201,297.96

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Solution

The fourth proportional to 5,648,460.74, 7,794,712.00 and 3,201,297.96 is: 4,417,698.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648,460.74 : 7,794,712.00 = 3,201,297.96 : x
  2. Step 2: Convert to fraction form
    5,648,460.74/7,794,712.00 = 3,201,297.96/x
  3. Step 3: Cross multiply
    5,648,460.74x = 7,794,712.00 × 3,201,297.96
  4. Step 4: Simplify right side
    5,648,460.74x = 24,953,195,569,407.47
  5. Step 5: Solve for x
    x = 24,953,195,569,407.47/5,648,460.74
  6. Step 6: Final answer
    x = 4,417,698.33

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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.