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Finding the Fourth Proportional to 4,444.01, 6,666.02 and 1,157.10

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Solution

The fourth proportional to 4,444.01, 6,666.02 and 1,157.10 is: 1,735.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,444.01 : 6,666.02 = 1,157.10 : x
  2. Step 2: Convert to fraction form
    4,444.01/6,666.02 = 1,157.10/x
  3. Step 3: Cross multiply
    4,444.01x = 6,666.02 × 1,157.10
  4. Step 4: Simplify right side
    4,444.01x = 7,713,237.93
  5. Step 5: Solve for x
    x = 7,713,237.93/4,444.01
  6. Step 6: Final answer
    x = 1,735.65

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