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Finding the Fourth Proportional to 4,592.42, 6,840.02 and 4,570.04

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Solution

The fourth proportional to 4,592.42, 6,840.02 and 4,570.04 is: 6,806.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,592.42 : 6,840.02 = 4,570.04 : x
  2. Step 2: Convert to fraction form
    4,592.42/6,840.02 = 4,570.04/x
  3. Step 3: Cross multiply
    4,592.42x = 6,840.02 × 4,570.04
  4. Step 4: Simplify right side
    4,592.42x = 31,259,165.00
  5. Step 5: Solve for x
    x = 31,259,165.00/4,592.42
  6. Step 6: Final answer
    x = 6,806.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.