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Finding the Fourth Proportional to 5,783.04, 8,674.29 and 1,566.45

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Solution

The fourth proportional to 5,783.04, 8,674.29 and 1,566.45 is: 2,349.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.04 : 8,674.29 = 1,566.45 : x
  2. Step 2: Convert to fraction form
    5,783.04/8,674.29 = 1,566.45/x
  3. Step 3: Cross multiply
    5,783.04x = 8,674.29 × 1,566.45
  4. Step 4: Simplify right side
    5,783.04x = 13,587,841.57
  5. Step 5: Solve for x
    x = 13,587,841.57/5,783.04
  6. Step 6: Final answer
    x = 2,349.60

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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.