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Finding the Fourth Proportional to 5,817, 8,725.30 and 2,530.10

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Solution

The fourth proportional to 5,817, 8,725.30 and 2,530.10 is: 3,795.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,817 : 8,725.30 = 2,530.10 : x
  2. Step 2: Convert to fraction form
    5,817/8,725.30 = 2,530.10/x
  3. Step 3: Cross multiply
    5,817x = 8,725.30 × 2,530.10
  4. Step 4: Simplify right side
    5,817x = 22,075,881.53
  5. Step 5: Solve for x
    x = 22,075,881.53/5,817
  6. Step 6: Final answer
    x = 3,795.06

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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.