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Finding the Fourth Proportional to 5,506.81, 8,261.24 and 1,810.10

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Solution

The fourth proportional to 5,506.81, 8,261.24 and 1,810.10 is: 2,715.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,506.81 : 8,261.24 = 1,810.10 : x
  2. Step 2: Convert to fraction form
    5,506.81/8,261.24 = 1,810.10/x
  3. Step 3: Cross multiply
    5,506.81x = 8,261.24 × 1,810.10
  4. Step 4: Simplify right side
    5,506.81x = 14,953,682.13
  5. Step 5: Solve for x
    x = 14,953,682.13/5,506.81
  6. Step 6: Final answer
    x = 2,715.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.