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Finding the Fourth Proportional to 5,130.76, 7,695.04 and 1,621.04

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Solution

The fourth proportional to 5,130.76, 7,695.04 and 1,621.04 is: 2,431.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,130.76 : 7,695.04 = 1,621.04 : x
  2. Step 2: Convert to fraction form
    5,130.76/7,695.04 = 1,621.04/x
  3. Step 3: Cross multiply
    5,130.76x = 7,695.04 × 1,621.04
  4. Step 4: Simplify right side
    5,130.76x = 12,473,967.64
  5. Step 5: Solve for x
    x = 12,473,967.64/5,130.76
  6. Step 6: Final answer
    x = 2,431.21

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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.