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Finding the Fourth Proportional to 5,405.76, 7,456.32 and 4,230.72

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Solution

The fourth proportional to 5,405.76, 7,456.32 and 4,230.72 is: 5,835.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,405.76 : 7,456.32 = 4,230.72 : x
  2. Step 2: Convert to fraction form
    5,405.76/7,456.32 = 4,230.72/x
  3. Step 3: Cross multiply
    5,405.76x = 7,456.32 × 4,230.72
  4. Step 4: Simplify right side
    5,405.76x = 31,545,602.15
  5. Step 5: Solve for x
    x = 31,545,602.15/5,405.76
  6. Step 6: Final answer
    x = 5,835.55

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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.