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Finding the Fourth Proportional to 5,271.48, 7,907.92 and 1,573.84

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Solution

The fourth proportional to 5,271.48, 7,907.92 and 1,573.84 is: 2,360.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,271.48 : 7,907.92 = 1,573.84 : x
  2. Step 2: Convert to fraction form
    5,271.48/7,907.92 = 1,573.84/x
  3. Step 3: Cross multiply
    5,271.48x = 7,907.92 × 1,573.84
  4. Step 4: Simplify right side
    5,271.48x = 12,445,800.81
  5. Step 5: Solve for x
    x = 12,445,800.81/5,271.48
  6. Step 6: Final answer
    x = 2,360.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.