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Finding the Fourth Proportional to 5,610.95, 8,416.43 and 1,506.95

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Solution

The fourth proportional to 5,610.95, 8,416.43 and 1,506.95 is: 2,260.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,610.95 : 8,416.43 = 1,506.95 : x
  2. Step 2: Convert to fraction form
    5,610.95/8,416.43 = 1,506.95/x
  3. Step 3: Cross multiply
    5,610.95x = 8,416.43 × 1,506.95
  4. Step 4: Simplify right side
    5,610.95x = 12,683,139.19
  5. Step 5: Solve for x
    x = 12,683,139.19/5,610.95
  6. Step 6: Final answer
    x = 2,260.43

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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.