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Finding the Fourth Proportional to 3,421.69, 5,132.86 and 1,573.32

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Solution

The fourth proportional to 3,421.69, 5,132.86 and 1,573.32 is: 2,360.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,421.69 : 5,132.86 = 1,573.32 : x
  2. Step 2: Convert to fraction form
    3,421.69/5,132.86 = 1,573.32/x
  3. Step 3: Cross multiply
    3,421.69x = 5,132.86 × 1,573.32
  4. Step 4: Simplify right side
    3,421.69x = 8,075,622.16
  5. Step 5: Solve for x
    x = 8,075,622.16/3,421.69
  6. Step 6: Final answer
    x = 2,360.13

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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.