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Finding the Fourth Proportional to 5,235.60, 7,225.02 and 3,140.40

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Solution

The fourth proportional to 5,235.60, 7,225.02 and 3,140.40 is: 4,333.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.60 : 7,225.02 = 3,140.40 : x
  2. Step 2: Convert to fraction form
    5,235.60/7,225.02 = 3,140.40/x
  3. Step 3: Cross multiply
    5,235.60x = 7,225.02 × 3,140.40
  4. Step 4: Simplify right side
    5,235.60x = 22,689,452.81
  5. Step 5: Solve for x
    x = 22,689,452.81/5,235.60
  6. Step 6: Final answer
    x = 4,333.69

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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.