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Finding the Fourth Proportional to 5,588.64, 7,719.90 and 4,477.56

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Solution

The fourth proportional to 5,588.64, 7,719.90 and 4,477.56 is: 6,185.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,588.64 : 7,719.90 = 4,477.56 : x
  2. Step 2: Convert to fraction form
    5,588.64/7,719.90 = 4,477.56/x
  3. Step 3: Cross multiply
    5,588.64x = 7,719.90 × 4,477.56
  4. Step 4: Simplify right side
    5,588.64x = 34,566,315.44
  5. Step 5: Solve for x
    x = 34,566,315.44/5,588.64
  6. Step 6: Final answer
    x = 6,185.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.