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Finding the Fourth Proportional to 6,549.40, 9,038.00 and 3,678.05

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Solution

The fourth proportional to 6,549.40, 9,038.00 and 3,678.05 is: 5,075.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,549.40 : 9,038.00 = 3,678.05 : x
  2. Step 2: Convert to fraction form
    6,549.40/9,038.00 = 3,678.05/x
  3. Step 3: Cross multiply
    6,549.40x = 9,038.00 × 3,678.05
  4. Step 4: Simplify right side
    6,549.40x = 33,242,247.69
  5. Step 5: Solve for x
    x = 33,242,247.69/6,549.40
  6. Step 6: Final answer
    x = 5,075.62

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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.