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Finding the Fourth Proportional to 3,904.65, 5,853.15 and 1,564.02

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Solution

The fourth proportional to 3,904.65, 5,853.15 and 1,564.02 is: 2,344.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904.65 : 5,853.15 = 1,564.02 : x
  2. Step 2: Convert to fraction form
    3,904.65/5,853.15 = 1,564.02/x
  3. Step 3: Cross multiply
    3,904.65x = 5,853.15 × 1,564.02
  4. Step 4: Simplify right side
    3,904.65x = 9,154,443.66
  5. Step 5: Solve for x
    x = 9,154,443.66/3,904.65
  6. Step 6: Final answer
    x = 2,344.50

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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.