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Finding the Fourth Proportional to 5,655.84, 8,483.82 and 3,075.18

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Solution

The fourth proportional to 5,655.84, 8,483.82 and 3,075.18 is: 4,612.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.84 : 8,483.82 = 3,075.18 : x
  2. Step 2: Convert to fraction form
    5,655.84/8,483.82 = 3,075.18/x
  3. Step 3: Cross multiply
    5,655.84x = 8,483.82 × 3,075.18
  4. Step 4: Simplify right side
    5,655.84x = 26,089,273.59
  5. Step 5: Solve for x
    x = 26,089,273.59/5,655.84
  6. Step 6: Final answer
    x = 4,612.80

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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.