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Finding the Fourth Proportional to 6,574.48, 9,075.30 and 4,057

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Solution

The fourth proportional to 6,574.48, 9,075.30 and 4,057 is: 5,600.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,574.48 : 9,075.30 = 4,057 : x
  2. Step 2: Convert to fraction form
    6,574.48/9,075.30 = 4,057/x
  3. Step 3: Cross multiply
    6,574.48x = 9,075.30 × 4,057
  4. Step 4: Simplify right side
    6,574.48x = 36,818,492.10
  5. Step 5: Solve for x
    x = 36,818,492.10/6,574.48
  6. Step 6: Final answer
    x = 5,600.21

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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.