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Finding the Fourth Proportional to 3,070.71, 4,236.23 and 2,075.63

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Solution

The fourth proportional to 3,070.71, 4,236.23 and 2,075.63 is: 2,863.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.71 : 4,236.23 = 2,075.63 : x
  2. Step 2: Convert to fraction form
    3,070.71/4,236.23 = 2,075.63/x
  3. Step 3: Cross multiply
    3,070.71x = 4,236.23 × 2,075.63
  4. Step 4: Simplify right side
    3,070.71x = 8,792,830.08
  5. Step 5: Solve for x
    x = 8,792,830.08/3,070.71
  6. Step 6: Final answer
    x = 2,863.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.