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Finding the Fourth Proportional to 5,895.47, 8,840.36 and 3,430.84

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Solution

The fourth proportional to 5,895.47, 8,840.36 and 3,430.84 is: 5,144.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,895.47 : 8,840.36 = 3,430.84 : x
  2. Step 2: Convert to fraction form
    5,895.47/8,840.36 = 3,430.84/x
  3. Step 3: Cross multiply
    5,895.47x = 8,840.36 × 3,430.84
  4. Step 4: Simplify right side
    5,895.47x = 30,329,860.70
  5. Step 5: Solve for x
    x = 30,329,860.70/5,895.47
  6. Step 6: Final answer
    x = 5,144.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.