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Finding the Fourth Proportional to 5,075.40, 7,602.06 and 3,221.88

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Solution

The fourth proportional to 5,075.40, 7,602.06 and 3,221.88 is: 4,825.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,075.40 : 7,602.06 = 3,221.88 : x
  2. Step 2: Convert to fraction form
    5,075.40/7,602.06 = 3,221.88/x
  3. Step 3: Cross multiply
    5,075.40x = 7,602.06 × 3,221.88
  4. Step 4: Simplify right side
    5,075.40x = 24,492,925.07
  5. Step 5: Solve for x
    x = 24,492,925.07/5,075.40
  6. Step 6: Final answer
    x = 4,825.81

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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.