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Finding the Fourth Proportional to 5,864.58, 8,802.54 and 4,782.06

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Solution

The fourth proportional to 5,864.58, 8,802.54 and 4,782.06 is: 7,177.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,864.58 : 8,802.54 = 4,782.06 : x
  2. Step 2: Convert to fraction form
    5,864.58/8,802.54 = 4,782.06/x
  3. Step 3: Cross multiply
    5,864.58x = 8,802.54 × 4,782.06
  4. Step 4: Simplify right side
    5,864.58x = 42,094,274.43
  5. Step 5: Solve for x
    x = 42,094,274.43/5,864.58
  6. Step 6: Final answer
    x = 7,177.71

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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.