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Finding the Fourth Proportional to 5,385.84, 8,078.12 and 1,437.40

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Solution

The fourth proportional to 5,385.84, 8,078.12 and 1,437.40 is: 2,155.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,385.84 : 8,078.12 = 1,437.40 : x
  2. Step 2: Convert to fraction form
    5,385.84/8,078.12 = 1,437.40/x
  3. Step 3: Cross multiply
    5,385.84x = 8,078.12 × 1,437.40
  4. Step 4: Simplify right side
    5,385.84x = 11,611,442.11
  5. Step 5: Solve for x
    x = 11,611,442.11/5,385.84
  6. Step 6: Final answer
    x = 2,155.92

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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.