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Finding the Fourth Proportional to 5,098.94, 7,649.51 and 1,588.87

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Solution

The fourth proportional to 5,098.94, 7,649.51 and 1,588.87 is: 2,383.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,098.94 : 7,649.51 = 1,588.87 : x
  2. Step 2: Convert to fraction form
    5,098.94/7,649.51 = 1,588.87/x
  3. Step 3: Cross multiply
    5,098.94x = 7,649.51 × 1,588.87
  4. Step 4: Simplify right side
    5,098.94x = 12,154,069.01
  5. Step 5: Solve for x
    x = 12,154,069.01/5,098.94
  6. Step 6: Final answer
    x = 2,383.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.