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Finding the Fourth Proportional to 4,848.72, 7,275.24 and 1,770

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Solution

The fourth proportional to 4,848.72, 7,275.24 and 1,770 is: 2,655.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,848.72 : 7,275.24 = 1,770 : x
  2. Step 2: Convert to fraction form
    4,848.72/7,275.24 = 1,770/x
  3. Step 3: Cross multiply
    4,848.72x = 7,275.24 × 1,770
  4. Step 4: Simplify right side
    4,848.72x = 12,877,174.80
  5. Step 5: Solve for x
    x = 12,877,174.80/4,848.72
  6. Step 6: Final answer
    x = 2,655.79

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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.