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Finding the Fourth Proportional to 5,774.31, 8,655.71 and 2,259.50

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Solution

The fourth proportional to 5,774.31, 8,655.71 and 2,259.50 is: 3,386.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.31 : 8,655.71 = 2,259.50 : x
  2. Step 2: Convert to fraction form
    5,774.31/8,655.71 = 2,259.50/x
  3. Step 3: Cross multiply
    5,774.31x = 8,655.71 × 2,259.50
  4. Step 4: Simplify right side
    5,774.31x = 19,557,522.17
  5. Step 5: Solve for x
    x = 19,557,522.17/5,774.31
  6. Step 6: Final answer
    x = 3,386.99

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Why These Related Problems?

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