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Finding the Fourth Proportional to 4,297.32, 6,444.96 and 3,140.96

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Solution

The fourth proportional to 4,297.32, 6,444.96 and 3,140.96 is: 4,710.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,297.32 : 6,444.96 = 3,140.96 : x
  2. Step 2: Convert to fraction form
    4,297.32/6,444.96 = 3,140.96/x
  3. Step 3: Cross multiply
    4,297.32x = 6,444.96 × 3,140.96
  4. Step 4: Simplify right side
    4,297.32x = 20,243,329.34
  5. Step 5: Solve for x
    x = 20,243,329.34/4,297.32
  6. Step 6: Final answer
    x = 4,710.69

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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.