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Finding the Fourth Proportional to 5,316.64, 7,973.04 and 2,028.08

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Solution

The fourth proportional to 5,316.64, 7,973.04 and 2,028.08 is: 3,041.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,316.64 : 7,973.04 = 2,028.08 : x
  2. Step 2: Convert to fraction form
    5,316.64/7,973.04 = 2,028.08/x
  3. Step 3: Cross multiply
    5,316.64x = 7,973.04 × 2,028.08
  4. Step 4: Simplify right side
    5,316.64x = 16,169,962.96
  5. Step 5: Solve for x
    x = 16,169,962.96/5,316.64
  6. Step 6: Final answer
    x = 3,041.39

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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.