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Finding the Fourth Proportional to 4,923.87, 7,385.80 and 1,461.39

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Solution

The fourth proportional to 4,923.87, 7,385.80 and 1,461.39 is: 2,192.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,923.87 : 7,385.80 = 1,461.39 : x
  2. Step 2: Convert to fraction form
    4,923.87/7,385.80 = 1,461.39/x
  3. Step 3: Cross multiply
    4,923.87x = 7,385.80 × 1,461.39
  4. Step 4: Simplify right side
    4,923.87x = 10,793,534.26
  5. Step 5: Solve for x
    x = 10,793,534.26/4,923.87
  6. Step 6: Final answer
    x = 2,192.08

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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.