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Finding the Fourth Proportional to 4,673.32, 6,989.10 and 4,156.54

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Solution

The fourth proportional to 4,673.32, 6,989.10 and 4,156.54 is: 6,216.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,673.32 : 6,989.10 = 4,156.54 : x
  2. Step 2: Convert to fraction form
    4,673.32/6,989.10 = 4,156.54/x
  3. Step 3: Cross multiply
    4,673.32x = 6,989.10 × 4,156.54
  4. Step 4: Simplify right side
    4,673.32x = 29,050,473.71
  5. Step 5: Solve for x
    x = 29,050,473.71/4,673.32
  6. Step 6: Final answer
    x = 6,216.24

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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.