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Finding the Fourth Proportional to 5,669.60, 8,490.02 and 4,742.88

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Solution

The fourth proportional to 5,669.60, 8,490.02 and 4,742.88 is: 7,102.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.60 : 8,490.02 = 4,742.88 : x
  2. Step 2: Convert to fraction form
    5,669.60/8,490.02 = 4,742.88/x
  3. Step 3: Cross multiply
    5,669.60x = 8,490.02 × 4,742.88
  4. Step 4: Simplify right side
    5,669.60x = 40,267,146.06
  5. Step 5: Solve for x
    x = 40,267,146.06/5,669.60
  6. Step 6: Final answer
    x = 7,102.29

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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.