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Finding the Fourth Proportional to 2,595.86, 3,877.71 and 2,335.44

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Solution

The fourth proportional to 2,595.86, 3,877.71 and 2,335.44 is: 3,488.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,595.86 : 3,877.71 = 2,335.44 : x
  2. Step 2: Convert to fraction form
    2,595.86/3,877.71 = 2,335.44/x
  3. Step 3: Cross multiply
    2,595.86x = 3,877.71 × 2,335.44
  4. Step 4: Simplify right side
    2,595.86x = 9,056,159.04
  5. Step 5: Solve for x
    x = 9,056,159.04/2,595.86
  6. Step 6: Final answer
    x = 3,488.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.