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Finding the Fourth Proportional to 5,312.53, 7,968.80 and 2,530.77

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Solution

The fourth proportional to 5,312.53, 7,968.80 and 2,530.77 is: 3,796.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,312.53 : 7,968.80 = 2,530.77 : x
  2. Step 2: Convert to fraction form
    5,312.53/7,968.80 = 2,530.77/x
  3. Step 3: Cross multiply
    5,312.53x = 7,968.80 × 2,530.77
  4. Step 4: Simplify right side
    5,312.53x = 20,167,199.98
  5. Step 5: Solve for x
    x = 20,167,199.98/5,312.53
  6. Step 6: Final answer
    x = 3,796.16

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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.