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Finding the Fourth Proportional to 4,972.58, 7,461.03 and 4,426.10

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Solution

The fourth proportional to 4,972.58, 7,461.03 and 4,426.10 is: 6,641.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,972.58 : 7,461.03 = 4,426.10 : x
  2. Step 2: Convert to fraction form
    4,972.58/7,461.03 = 4,426.10/x
  3. Step 3: Cross multiply
    4,972.58x = 7,461.03 × 4,426.10
  4. Step 4: Simplify right side
    4,972.58x = 33,023,264.88
  5. Step 5: Solve for x
    x = 33,023,264.88/4,972.58
  6. Step 6: Final answer
    x = 6,641.07

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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.