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Finding the Fourth Proportional to 3,207.33, 4,810.68 and 1,565.01

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Solution

The fourth proportional to 3,207.33, 4,810.68 and 1,565.01 is: 2,347.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,207.33 : 4,810.68 = 1,565.01 : x
  2. Step 2: Convert to fraction form
    3,207.33/4,810.68 = 1,565.01/x
  3. Step 3: Cross multiply
    3,207.33x = 4,810.68 × 1,565.01
  4. Step 4: Simplify right side
    3,207.33x = 7,528,754.48
  5. Step 5: Solve for x
    x = 7,528,754.48/3,207.33
  6. Step 6: Final answer
    x = 2,347.36

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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.