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Finding the Fourth Proportional to 4,548.72, 6,822.36 and 1,470

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Solution

The fourth proportional to 4,548.72, 6,822.36 and 1,470 is: 2,204.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,548.72 : 6,822.36 = 1,470 : x
  2. Step 2: Convert to fraction form
    4,548.72/6,822.36 = 1,470/x
  3. Step 3: Cross multiply
    4,548.72x = 6,822.36 × 1,470
  4. Step 4: Simplify right side
    4,548.72x = 10,028,869.20
  5. Step 5: Solve for x
    x = 10,028,869.20/4,548.72
  6. Step 6: Final answer
    x = 2,204.77

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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.