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Finding the Fourth Proportional to 5,259.63, 7,889.33 and 1,564.35

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Solution

The fourth proportional to 5,259.63, 7,889.33 and 1,564.35 is: 2,346.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.63 : 7,889.33 = 1,564.35 : x
  2. Step 2: Convert to fraction form
    5,259.63/7,889.33 = 1,564.35/x
  3. Step 3: Cross multiply
    5,259.63x = 7,889.33 × 1,564.35
  4. Step 4: Simplify right side
    5,259.63x = 12,341,647.71
  5. Step 5: Solve for x
    x = 12,341,647.71/5,259.63
  6. Step 6: Final answer
    x = 2,346.48

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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.