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Finding the Fourth Proportional to 5,798.77, 8,002.26 and 3,146.18

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Solution

The fourth proportional to 5,798.77, 8,002.26 and 3,146.18 is: 4,341.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798.77 : 8,002.26 = 3,146.18 : x
  2. Step 2: Convert to fraction form
    5,798.77/8,002.26 = 3,146.18/x
  3. Step 3: Cross multiply
    5,798.77x = 8,002.26 × 3,146.18
  4. Step 4: Simplify right side
    5,798.77x = 25,176,510.36
  5. Step 5: Solve for x
    x = 25,176,510.36/5,798.77
  6. Step 6: Final answer
    x = 4,341.70

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