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Finding the Fourth Proportional to 5,062.94, 7,594.41 and 1,776.98

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Solution

The fourth proportional to 5,062.94, 7,594.41 and 1,776.98 is: 2,665.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,062.94 : 7,594.41 = 1,776.98 : x
  2. Step 2: Convert to fraction form
    5,062.94/7,594.41 = 1,776.98/x
  3. Step 3: Cross multiply
    5,062.94x = 7,594.41 × 1,776.98
  4. Step 4: Simplify right side
    5,062.94x = 13,495,076.71
  5. Step 5: Solve for x
    x = 13,495,076.71/5,062.94
  6. Step 6: Final answer
    x = 2,665.47

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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.