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Finding the Fourth Proportional to 5,365.78, 8,045.70 and 1,854.16

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Solution

The fourth proportional to 5,365.78, 8,045.70 and 1,854.16 is: 2,780.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,365.78 : 8,045.70 = 1,854.16 : x
  2. Step 2: Convert to fraction form
    5,365.78/8,045.70 = 1,854.16/x
  3. Step 3: Cross multiply
    5,365.78x = 8,045.70 × 1,854.16
  4. Step 4: Simplify right side
    5,365.78x = 14,918,015.11
  5. Step 5: Solve for x
    x = 14,918,015.11/5,365.78
  6. Step 6: Final answer
    x = 2,780.21

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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.