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Finding the Fourth Proportional to 5,385.90, 8,075.54 and 2,095.16

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Solution

The fourth proportional to 5,385.90, 8,075.54 and 2,095.16 is: 3,141.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,385.90 : 8,075.54 = 2,095.16 : x
  2. Step 2: Convert to fraction form
    5,385.90/8,075.54 = 2,095.16/x
  3. Step 3: Cross multiply
    5,385.90x = 8,075.54 × 2,095.16
  4. Step 4: Simplify right side
    5,385.90x = 16,919,573.81
  5. Step 5: Solve for x
    x = 16,919,573.81/5,385.90
  6. Step 6: Final answer
    x = 3,141.46

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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.