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Finding the Fourth Proportional to 4,075.57, 5,624.57 and 2,307.18

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Solution

The fourth proportional to 4,075.57, 5,624.57 and 2,307.18 is: 3,184.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,075.57 : 5,624.57 = 2,307.18 : x
  2. Step 2: Convert to fraction form
    4,075.57/5,624.57 = 2,307.18/x
  3. Step 3: Cross multiply
    4,075.57x = 5,624.57 × 2,307.18
  4. Step 4: Simplify right side
    4,075.57x = 12,976,895.41
  5. Step 5: Solve for x
    x = 12,976,895.41/4,075.57
  6. Step 6: Final answer
    x = 3,184.07

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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.