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Finding the Fourth Proportional to 4,534.61, 6,804 and 2,070.18

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Solution

The fourth proportional to 4,534.61, 6,804 and 2,070.18 is: 3,106.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,534.61 : 6,804 = 2,070.18 : x
  2. Step 2: Convert to fraction form
    4,534.61/6,804 = 2,070.18/x
  3. Step 3: Cross multiply
    4,534.61x = 6,804 × 2,070.18
  4. Step 4: Simplify right side
    4,534.61x = 14,085,504.72
  5. Step 5: Solve for x
    x = 14,085,504.72/4,534.61
  6. Step 6: Final answer
    x = 3,106.23

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Why These Related Problems?

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