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Finding the Fourth Proportional to 4,677.14, 7,014.68 and 1,903.08

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Solution

The fourth proportional to 4,677.14, 7,014.68 and 1,903.08 is: 2,854.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.14 : 7,014.68 = 1,903.08 : x
  2. Step 2: Convert to fraction form
    4,677.14/7,014.68 = 1,903.08/x
  3. Step 3: Cross multiply
    4,677.14x = 7,014.68 × 1,903.08
  4. Step 4: Simplify right side
    4,677.14x = 13,349,497.21
  5. Step 5: Solve for x
    x = 13,349,497.21/4,677.14
  6. Step 6: Final answer
    x = 2,854.20

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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.