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Finding the Fourth Proportional to 5,259.28, 7,888.84 and 1,564.01

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Solution

The fourth proportional to 5,259.28, 7,888.84 and 1,564.01 is: 2,345.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.28 : 7,888.84 = 1,564.01 : x
  2. Step 2: Convert to fraction form
    5,259.28/7,888.84 = 1,564.01/x
  3. Step 3: Cross multiply
    5,259.28x = 7,888.84 × 1,564.01
  4. Step 4: Simplify right side
    5,259.28x = 12,338,177.38
  5. Step 5: Solve for x
    x = 12,338,177.38/5,259.28
  6. Step 6: Final answer
    x = 2,345.98

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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.