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Finding the Fourth Proportional to 4,677.93, 7,013.61 and 1,903.77

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Solution

The fourth proportional to 4,677.93, 7,013.61 and 1,903.77 is: 2,854.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.93 : 7,013.61 = 1,903.77 : x
  2. Step 2: Convert to fraction form
    4,677.93/7,013.61 = 1,903.77/x
  3. Step 3: Cross multiply
    4,677.93x = 7,013.61 × 1,903.77
  4. Step 4: Simplify right side
    4,677.93x = 13,352,300.31
  5. Step 5: Solve for x
    x = 13,352,300.31/4,677.93
  6. Step 6: Final answer
    x = 2,854.32

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