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Finding the Fourth Proportional to 4,671.32, 7,006.98 and 1,384.16

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Solution

The fourth proportional to 4,671.32, 7,006.98 and 1,384.16 is: 2,076.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.32 : 7,006.98 = 1,384.16 : x
  2. Step 2: Convert to fraction form
    4,671.32/7,006.98 = 1,384.16/x
  3. Step 3: Cross multiply
    4,671.32x = 7,006.98 × 1,384.16
  4. Step 4: Simplify right side
    4,671.32x = 9,698,781.44
  5. Step 5: Solve for x
    x = 9,698,781.44/4,671.32
  6. Step 6: Final answer
    x = 2,076.24

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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.