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Finding the Fourth Proportional to 5,671.10, 8,506.65 and 1,775.81

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Solution

The fourth proportional to 5,671.10, 8,506.65 and 1,775.81 is: 2,663.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.10 : 8,506.65 = 1,775.81 : x
  2. Step 2: Convert to fraction form
    5,671.10/8,506.65 = 1,775.81/x
  3. Step 3: Cross multiply
    5,671.10x = 8,506.65 × 1,775.81
  4. Step 4: Simplify right side
    5,671.10x = 15,106,222.06
  5. Step 5: Solve for x
    x = 15,106,222.06/5,671.10
  6. Step 6: Final answer
    x = 2,663.72

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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.