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Finding the Fourth Proportional to 5,674,284.75, 7,821,365.52 and 3,838,073.40

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Solution

The fourth proportional to 5,674,284.75, 7,821,365.52 and 3,838,073.40 is: 5,290,353.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,674,284.75 : 7,821,365.52 = 3,838,073.40 : x
  2. Step 2: Convert to fraction form
    5,674,284.75/7,821,365.52 = 3,838,073.40/x
  3. Step 3: Cross multiply
    5,674,284.75x = 7,821,365.52 × 3,838,073.40
  4. Step 4: Simplify right side
    5,674,284.75x = 30,018,974,953,989.16
  5. Step 5: Solve for x
    x = 30,018,974,953,989.16/5,674,284.75
  6. Step 6: Final answer
    x = 5,290,353.99

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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.