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Finding the Fourth Proportional to 5,263.60, 7,888.20 and 4,291.60

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Solution

The fourth proportional to 5,263.60, 7,888.20 and 4,291.60 is: 6,431.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,263.60 : 7,888.20 = 4,291.60 : x
  2. Step 2: Convert to fraction form
    5,263.60/7,888.20 = 4,291.60/x
  3. Step 3: Cross multiply
    5,263.60x = 7,888.20 × 4,291.60
  4. Step 4: Simplify right side
    5,263.60x = 33,852,999.12
  5. Step 5: Solve for x
    x = 33,852,999.12/5,263.60
  6. Step 6: Final answer
    x = 6,431.53

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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.