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Finding the Fourth Proportional to 5,776.54, 8,623.02 and 5,075.91

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Solution

The fourth proportional to 5,776.54, 8,623.02 and 5,075.91 is: 7,577.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.54 : 8,623.02 = 5,075.91 : x
  2. Step 2: Convert to fraction form
    5,776.54/8,623.02 = 5,075.91/x
  3. Step 3: Cross multiply
    5,776.54x = 8,623.02 × 5,075.91
  4. Step 4: Simplify right side
    5,776.54x = 43,769,673.45
  5. Step 5: Solve for x
    x = 43,769,673.45/5,776.54
  6. Step 6: Final answer
    x = 7,577.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.