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Finding the Fourth Proportional to 4,740.32, 7,106.64 and 4,221.34

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Solution

The fourth proportional to 4,740.32, 7,106.64 and 4,221.34 is: 6,328.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,740.32 : 7,106.64 = 4,221.34 : x
  2. Step 2: Convert to fraction form
    4,740.32/7,106.64 = 4,221.34/x
  3. Step 3: Cross multiply
    4,740.32x = 7,106.64 × 4,221.34
  4. Step 4: Simplify right side
    4,740.32x = 29,999,520.96
  5. Step 5: Solve for x
    x = 29,999,520.96/4,740.32
  6. Step 6: Final answer
    x = 6,328.58

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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.