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Finding the Fourth Proportional to 3,702.86, 5,106.65 and 2,210.24

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Solution

The fourth proportional to 3,702.86, 5,106.65 and 2,210.24 is: 3,048.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,702.86 : 5,106.65 = 2,210.24 : x
  2. Step 2: Convert to fraction form
    3,702.86/5,106.65 = 2,210.24/x
  3. Step 3: Cross multiply
    3,702.86x = 5,106.65 × 2,210.24
  4. Step 4: Simplify right side
    3,702.86x = 11,286,895.09
  5. Step 5: Solve for x
    x = 11,286,895.09/3,702.86
  6. Step 6: Final answer
    x = 3,048.15

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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.