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Finding the Fourth Proportional to 5,274.65, 7,913.42 and 1,577.00

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Solution

The fourth proportional to 5,274.65, 7,913.42 and 1,577.00 is: 2,365.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.65 : 7,913.42 = 1,577.00 : x
  2. Step 2: Convert to fraction form
    5,274.65/7,913.42 = 1,577.00/x
  3. Step 3: Cross multiply
    5,274.65x = 7,913.42 × 1,577.00
  4. Step 4: Simplify right side
    5,274.65x = 12,479,415.89
  5. Step 5: Solve for x
    x = 12,479,415.89/5,274.65
  6. Step 6: Final answer
    x = 2,365.93

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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.