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Finding the Fourth Proportional to 5,610.40, 8,407.98 and 2,977.24

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Solution

The fourth proportional to 5,610.40, 8,407.98 and 2,977.24 is: 4,461.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,610.40 : 8,407.98 = 2,977.24 : x
  2. Step 2: Convert to fraction form
    5,610.40/8,407.98 = 2,977.24/x
  3. Step 3: Cross multiply
    5,610.40x = 8,407.98 × 2,977.24
  4. Step 4: Simplify right side
    5,610.40x = 25,032,574.38
  5. Step 5: Solve for x
    x = 25,032,574.38/5,610.40
  6. Step 6: Final answer
    x = 4,461.82

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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.