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Finding the Fourth Proportional to 4,756.45, 6,564 and 2,868.07

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Solution

The fourth proportional to 4,756.45, 6,564 and 2,868.07 is: 3,958.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,756.45 : 6,564 = 2,868.07 : x
  2. Step 2: Convert to fraction form
    4,756.45/6,564 = 2,868.07/x
  3. Step 3: Cross multiply
    4,756.45x = 6,564 × 2,868.07
  4. Step 4: Simplify right side
    4,756.45x = 18,826,011.48
  5. Step 5: Solve for x
    x = 18,826,011.48/4,756.45
  6. Step 6: Final answer
    x = 3,958.00

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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.