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Finding the Fourth Proportional to 5,964.64, 8,946.12 and 1,582.48

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Solution

The fourth proportional to 5,964.64, 8,946.12 and 1,582.48 is: 2,373.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,964.64 : 8,946.12 = 1,582.48 : x
  2. Step 2: Convert to fraction form
    5,964.64/8,946.12 = 1,582.48/x
  3. Step 3: Cross multiply
    5,964.64x = 8,946.12 × 1,582.48
  4. Step 4: Simplify right side
    5,964.64x = 14,157,055.98
  5. Step 5: Solve for x
    x = 14,157,055.98/5,964.64
  6. Step 6: Final answer
    x = 2,373.50

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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.