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Finding the Fourth Proportional to 5,948.64, 8,923.10 and 1,566.24

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Solution

The fourth proportional to 5,948.64, 8,923.10 and 1,566.24 is: 2,349.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,948.64 : 8,923.10 = 1,566.24 : x
  2. Step 2: Convert to fraction form
    5,948.64/8,923.10 = 1,566.24/x
  3. Step 3: Cross multiply
    5,948.64x = 8,923.10 × 1,566.24
  4. Step 4: Simplify right side
    5,948.64x = 13,975,674.85
  5. Step 5: Solve for x
    x = 13,975,674.85/5,948.64
  6. Step 6: Final answer
    x = 2,349.39

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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.