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Finding the Fourth Proportional to 3,047.79, 4,565.57 and 1,402.05

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Solution

The fourth proportional to 3,047.79, 4,565.57 and 1,402.05 is: 2,100.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.79 : 4,565.57 = 1,402.05 : x
  2. Step 2: Convert to fraction form
    3,047.79/4,565.57 = 1,402.05/x
  3. Step 3: Cross multiply
    3,047.79x = 4,565.57 × 1,402.05
  4. Step 4: Simplify right side
    3,047.79x = 6,401,150.41
  5. Step 5: Solve for x
    x = 6,401,150.41/3,047.79
  6. Step 6: Final answer
    x = 2,100.26

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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.