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Finding the Fourth Proportional to 3,458.61, 4,773.63 and 2,041.77

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Solution

The fourth proportional to 3,458.61, 4,773.63 and 2,041.77 is: 2,818.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.61 : 4,773.63 = 2,041.77 : x
  2. Step 2: Convert to fraction form
    3,458.61/4,773.63 = 2,041.77/x
  3. Step 3: Cross multiply
    3,458.61x = 4,773.63 × 2,041.77
  4. Step 4: Simplify right side
    3,458.61x = 9,746,654.53
  5. Step 5: Solve for x
    x = 9,746,654.53/3,458.61
  6. Step 6: Final answer
    x = 2,818.08

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Why These Related Problems?

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