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Finding the Fourth Proportional to 4,596.52, 6,894.81 and 1,133.77

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Solution

The fourth proportional to 4,596.52, 6,894.81 and 1,133.77 is: 1,700.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.52 : 6,894.81 = 1,133.77 : x
  2. Step 2: Convert to fraction form
    4,596.52/6,894.81 = 1,133.77/x
  3. Step 3: Cross multiply
    4,596.52x = 6,894.81 × 1,133.77
  4. Step 4: Simplify right side
    4,596.52x = 7,817,128.73
  5. Step 5: Solve for x
    x = 7,817,128.73/4,596.52
  6. Step 6: Final answer
    x = 1,700.66

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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.