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Finding the Fourth Proportional to 5,038.60, 7,559.20 and 1,918.66

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Solution

The fourth proportional to 5,038.60, 7,559.20 and 1,918.66 is: 2,878.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,038.60 : 7,559.20 = 1,918.66 : x
  2. Step 2: Convert to fraction form
    5,038.60/7,559.20 = 1,918.66/x
  3. Step 3: Cross multiply
    5,038.60x = 7,559.20 × 1,918.66
  4. Step 4: Simplify right side
    5,038.60x = 14,503,534.67
  5. Step 5: Solve for x
    x = 14,503,534.67/5,038.60
  6. Step 6: Final answer
    x = 2,878.49

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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.