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Finding the Fourth Proportional to 4,671.17, 7,005.94 and 1,709

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Solution

The fourth proportional to 4,671.17, 7,005.94 and 1,709 is: 2,563.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,671.17 : 7,005.94 = 1,709 : x
  2. Step 2: Convert to fraction form
    4,671.17/7,005.94 = 1,709/x
  3. Step 3: Cross multiply
    4,671.17x = 7,005.94 × 1,709
  4. Step 4: Simplify right side
    4,671.17x = 11,973,151.46
  5. Step 5: Solve for x
    x = 11,973,151.46/4,671.17
  6. Step 6: Final answer
    x = 2,563.20

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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.