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Finding the Fourth Proportional to 5,699.89, 7,868.01 and 4,900.02

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Solution

The fourth proportional to 5,699.89, 7,868.01 and 4,900.02 is: 6,763.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,699.89 : 7,868.01 = 4,900.02 : x
  2. Step 2: Convert to fraction form
    5,699.89/7,868.01 = 4,900.02/x
  3. Step 3: Cross multiply
    5,699.89x = 7,868.01 × 4,900.02
  4. Step 4: Simplify right side
    5,699.89x = 38,553,406.36
  5. Step 5: Solve for x
    x = 38,553,406.36/5,699.89
  6. Step 6: Final answer
    x = 6,763.89

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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.