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Finding the Fourth Proportional to 6,075.66, 8,385.48 and 5,798.64

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Solution

The fourth proportional to 6,075.66, 8,385.48 and 5,798.64 is: 8,003.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,075.66 : 8,385.48 = 5,798.64 : x
  2. Step 2: Convert to fraction form
    6,075.66/8,385.48 = 5,798.64/x
  3. Step 3: Cross multiply
    6,075.66x = 8,385.48 × 5,798.64
  4. Step 4: Simplify right side
    6,075.66x = 48,624,379.75
  5. Step 5: Solve for x
    x = 48,624,379.75/6,075.66
  6. Step 6: Final answer
    x = 8,003.14

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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.