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Finding the Fourth Proportional to 4,953.76, 7,430.56 and 1,205.58

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Solution

The fourth proportional to 4,953.76, 7,430.56 and 1,205.58 is: 1,808.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,953.76 : 7,430.56 = 1,205.58 : x
  2. Step 2: Convert to fraction form
    4,953.76/7,430.56 = 1,205.58/x
  3. Step 3: Cross multiply
    4,953.76x = 7,430.56 × 1,205.58
  4. Step 4: Simplify right side
    4,953.76x = 8,958,134.52
  5. Step 5: Solve for x
    x = 8,958,134.52/4,953.76
  6. Step 6: Final answer
    x = 1,808.35

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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.