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Finding the Fourth Proportional to 5,642,448.91, 7,788,963.14 and 3,809,390.11

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Solution

The fourth proportional to 5,642,448.91, 7,788,963.14 and 3,809,390.11 is: 5,258,567.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,642,448.91 : 7,788,963.14 = 3,809,390.11 : x
  2. Step 2: Convert to fraction form
    5,642,448.91/7,788,963.14 = 3,809,390.11/x
  3. Step 3: Cross multiply
    5,642,448.91x = 7,788,963.14 × 3,809,390.11
  4. Step 4: Simplify right side
    5,642,448.91x = 29,671,199,128,436.40
  5. Step 5: Solve for x
    x = 29,671,199,128,436.40/5,642,448.91
  6. Step 6: Final answer
    x = 5,258,567.62

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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.